Conference PaperPDF Available

Development of a quad rotor tail-sitter VTOL UAV without control surfaces and experimental verification

Authors:

Abstract and Figures

This paper presents development of a quad rotor tail-sitter VTOL UAV (Vertical Takeoff and Landing Unmanned Aerial Vehicle) which is composed of four rotors and a fixed wing. The conventional VTOL UAVs have a drawback in the accuracy of the attitude control in stationary hovering because they were developed based on a fixed-wing aircraft and they used the control surfaces, such as aileron, elevator, and rudder for the attitude control. To overcome such a drawback, we developed a quad rotor tail-sitter VTOL UAV. The quad rotor tail-sitter VTOL UAV realizes high accuracy in the attitude control with four rotors like a quad rotor helicopter and achieves level flight like a fixed-wing airplane. The remarkable characteristic of the developed quad rotor tail-sitter VTOL UAV is that it does not use any control surfaces even in the level flight. This paper shows the design concept of the developed UAV and experimental verification of all flight modes including hovering, transition flight and level flight.
Content may be subject to copyright.
Development of a Quad Rotor Tail-Sitter VTOL UAV
without Control Surfaces and Experimental Verification
Atsushi Oosedo1, Satoko Abiko1, Atsushi Konno2, Takuya Koizumi1, Tatuya Furui1and Masaru Uchiyama1
Abstract— This paper presents development of a quad rotor
tail-sitter VTOL UAV (Vertical Takeoff and Landing Unmanned
Aerial Vehicle) which is composed of four rotors and a fixed
wing. The conventional VTOL UAVs have a drawback in the
accuracy of the attitude control in stationary hovering because
they were developed based on a fixed-wing aircraft and they
used the control surfaces, such as aileron, elevator, and rudder
for the attitude control. To overcome such a drawback, we
developed a quad rotor tail-sitter VTOL UAV. The quad rotor
tail-sitter VTOL UAV realizes high accuracy in the attitude
control with four rotors like a quad rotor helicopter and
achieves level flight like a fixed-wing airplane. The remarkable
characteristic of the developed quad rotor tail-sitter VTOL UAV
is that it does not use any control surfaces even in the level
flight. This paper shows the design concept of the developed
UAV and experimental verification of all flight modes including
hovering, transition flight and level flight.
I. INTRODUCTION
Recently, UAVs are widely used to gather various types
of information from the sky above for a variety of purposes
in civil applications. In disasters, UAVs are expected to play
very significant roles to rescue victims, explore the disaster
areas or to deliver relief supplies to the isolated areas alone.
Especially, small VTOL UAVs are very promising in such
hazardous situations since they can fly long distance as fixed-
wing airplanes and can hover as conventional rotary-wing
aircraft by themselves.
Among the several types of VTOL aircraft (tilt-rotor,
vector-thrust etc.) [1], a tail-sitter aircraft is the simplest way
to achieve the VTOL maneuver since it does not require extra
actuators for the VTOL maneuver. The tail-sitter VTOL air-
craft can achieve both level flight and hovering by changing
its pitch angle of the fuselage by 90 as shown in Fig. 1.
Up to now, several types of tail-sitter VTOL UAVs have
been developed. Stone et. al. developed the T-Wing tail-sitter
UAV with a canard wing and tandem rotors [2]. Kita et.
al. developed a simple tail-sitter VTOL UAV with a single
propeller R/C airplane [3]. The above mentioned tail-sitter
VTOL UAVs were developed based on fixed-wing aircraft.
Therefore, the attitude is controlled by control surfaces, such
as aileron. As a result, they had relatively poor performance
in stationary hovering compared to a rotary-wing aircraft,
although they achieved high stability in level flight.
1A. Oosedo, S. Abiko, T. Koizumi, T. Furui and M. Uchiyama
are with Department of Mechanical Systems and Design, Grad-
uate School of Engineering, Tohoku University, 6-6-01 Aramaki-
aza-Aoba, Aoba-ku, Sendai, 980-8579, Japan. {oosedo, abiko,
uchiyama}@space.mech.tohoku.ac.jp
2A. Konno is with Divi. of System Science and Informat-
ics, Hokkaido University, 14-9, Kita-ku, Sapporo, 060-0814, Japan.
{konno}@ssi.ist.hokudai.ac.jp
Transition
from
Takeoff
Transition
to
Landing
Landing
Level Flight
Fig. 1. Take-off and landing of a tail sitter VTOL
On the other hand, quad rotor helicopters have achieved
high stability in positioning and attitude control with a simple
mechanism. Therefore, several researchers have commonly
used the quad rotor helicopters for their research applica-
tions, such as autonomous navigation in indoor environments
and multi-vehicle flight testbed [4][5]. However, it is difficult
for quad rotor helicopters to fly long distance and long
duration because the most of the thrusts are consumed to lift
the body up, and hence horizontal component of the thrust
is small.
One solution to overcome the above drawbacks is, so
called, a quad rotor tail-sitter VTOL UAV. The quad rotor
tail-sitter VTOL UAV equips with a fixed wing on the basis
of the quad rotor helicopter. The quad rotor tail-sitter VTOL
UAV provides the ability of long distance flight while holding
high stability in positioning and attitude control.
Young et. al. developed a quad rotor tail-sitter UAV with
an R/C airplane and succeeded in hovering and forward flight
in 2002 [6]. However, they did not discuss autonomous level
flight at all and have not reported further development since
then. Sinha et. al developed a quad rotor tail-sitter VTOL
UAV named Quadshot in 2012 [7]. Quadshot performed
high dynamic maneuverability by use of a combination of
differential thrust and two control surfaces, namely elevon.
Hence, this UAV requires six actuators for flying. However,
in principle, the quad rotor tail-sitter UAV does not require
additional control surfaces since only four rotors can realize
stable attitude control.
In our previous research published in [8], we performed
flight simulation of a quad rotor tail-sitter UAV without
using any control surfaces. The simulation result apparently
showed that the UAV is able to realize level flight without
control surfaces. Moreover, it is clearly shown from the
simulation results that the quad rotor tail-sitter UAV can
fly three times longer distance compared with that of the
conventional quad rotor helicopter.
This paper presents the development of a quad-rotor tail-
sitter UAV that consists of four rotors and a fixed wing based
2013 IEEE International Conference on Robotics and Automation (ICRA)
Karlsruhe, Germany, May 6-10, 2013
978-1-4673-5643-5/13/$31.00 ©2013 IEEE 317
45
Xb
Yb
Zb
(a) Cross type of quad rotor tail-sitter UAV
(b) Asterisk type of quad rotor tail-sitter UAV
Auxiliary wing
Main wing
Xb
Yb
Zb
Fig. 2. Two types of the developed quad rotor tail-sitter UAVs
on the conventional quad rotor helicopter. The remarkable
characteristic of the developed UAV is that it does not use
any control surfaces, but it can realize all flight modes,
namely hovering, transition and level flight with simple
mechanism.
Firstly, we describe design concept and system configura-
tion of the developed UAV. Secondly, we briefly describe
flight control system implemented to the system, which
has been developed in our previous research [9]. Finally,
experimental verification of all flight modes are carried out.
In the experimental verification, firstly, we compare the per-
formance of two types of UAVs in the attitude control since
the effect of slipstream was not modeled in the simulation in
[8]. Then, the UAV which has better performance is selected
to demonstrate the transition and level flights.
II. SYSTEM CONFIGURATION
A. Design concept of the system
Fig. 2 shows overview of the developed quad rotor tail-
sitter UAVs. The quad rotor tail-sitter UAV in Fig. 2(a) is
named here cross-type of UAV, in which the main wing is
aligned under the propellers. The quad rotor tail-sitter UAV
in Fig. 2(b) is named here asterisk-type of UAV, in which the
main wing is allocated on the place rotated by 45 [] around
the Zbaxis with respect to the allocation of the propellers.
If the control surfaces are used to control the attitude
as the T-wing and Quadshot, the control surfaces must be
placed under the propellers. On the other hand, if this is
not the case, the main wing is placed at the area where the
propeller slipstream does not affect the control performance.
As one can see in Fig. 2, the cross-type of UAV has a
main wing under the propellers. Therefore, one can imagine
that the slipstream influences the performance of attitude
control. In the simulation analysis of the quad-rotor tail-
sitter VTOL UAV in [8], we did not include the detail effect
of the slipstream. Therefore, we quantitatively analyze the
influence of the slipstream through experiment verification
by comparing the performance of the cross-type and asterisk-
type of UAVs. The detail analysis of this is shown in Section
IV.
B. Coordinate Systems
In each UAV, the coordinates of the aircraft body (Xb,
Yb,Zb) are defined as shown in Fig. 2. The rotations about
the Xbaxis, Ybaxis and Zbaxis are defined as roll, pitch,
and yaw, respectively. The earth fixed coordinates (inertial
coordinates) define Xiaxis as true north, Yiaxis as east, and
Ziaxis as perpendicular downward. Xbaxis of the aircraft
coordinates coincides with Xiaxis of the inertial coordinates
when pitch and yaw angles are equal to 0. The coordinate
system of the aircraft is consistent in every flight modes.
C. Fuselage
The following subsections show the common specification
of both developed quad rotor tail-sitter UAVs. The airframe is
made of aluminum alloy and EPP (Expanded PolyProylene).
The main wing is a part of a commercially available R/C
airplane and the airfoil is NACA0010 whose span is 0.99 [m],
the chord is 0.28 [m], and taper ratio is 0.6. Since we do
not use the aileron, we fixed the aileron to prevent it from
moving in this research.
A fixed pitch propeller and a brushless DC motor are used
as propulsion units. The propeller diameter is 0.205 [m] and
the pitch is 0.152 [m]. As a result, a thrust to weight ratio
is more than or equal to 1.39.
D. Electronics
The UAV is equipped with the following processing units
and sensors.
The main computer is commercially available microcom-
puter board (Alpha project Co., STK-7125) which has an
SH2 microcomputer (Rnesas Technology Co.). This com-
puter executes control computation, sensor information pro-
cessing and transmission of a command signal (PWM:Pulse
Width Modulated) to each motor. The cycle of control
computation is 50 [Hz]. Flight logs are recorded on a micro-
SD card.
The attitude, three-axis angular velocity and translational
acceleration are measured by 3DM-GX1 producted by Mi-
crostrain Co. The sampling time is 100 [Hz]. The maximum
angle error is ±2 []. GPS 18-5Hz from Garmin Co. is
used to obtain the position of the UAV. The accuracy of
horizontal direction is 4–5 meters and the accuracy of vertical
position is 10–20 meters. Therefore, altitude is mainly ob-
tained from one ultrasonic distance sensor (USS) for precise
measurements. The resolution of the USS is 0.025 meter and
the measurable range of the USS is 0 to 6.45 meter. One
ultrasonic distance sensor and one R/C servo are mounted at
the tail of the UAV. The attitude of tail-sitter UAV greatly
varies in each flight mode. Therefore, in order to measure
altitude with one sensor, the servo rotates the USS around
the Ybaxis. The movement of this servo does not affect the
attitude of the aircraft.
318
Altitude
δ
Distributor Aircraft
dynamics
Roll angle
Yaw angle
Pitch angle
Reference
Roll angle
Reference
Pitch angle
PWM1
Reference
Yaw angle
-
Reference
Altitude +
PID
Controller
Attitude
transition
strategy
hTtotal
Transform
into
Rotation Matrix
Transform
into
Rotation Matrix
Rref
1
2
3
+-
Rcur
1
δ2
δ3
Attitude and altitude controller
ω
Command
from
Operator Flight
Planner
ω
ω
PWM2
PWM3
PWM4
Fig. 3. Flight controller
III. CONTROL SYSTEM
A. Flight control system
Fig. 3 shows the block diagram of the flight controller. The
flight control system is designed based on the PID controller.
Firstly, the flight plan and reference parameters are in-
stalled in the “Flight planner”. After the UAV receives
start command from an operator, the planner generates the
reference attitude and altitude based on the prearranged flight
plan and sensor information including attitude and altitude.
Then, these references and current attitude are transformed
into rotation matrices, Rre f and Rcur , which are sent to the
Attitude transition strategy”.
In the tail-sitter aircraft, quaternion feedback control is
often used due to no singular point. However, when the
attitude error is large, the quaternion feedback control may
fail to stabilize the UAV. Therefore, in this paper, “Resolved
Tilt-Twist Angle Feedback Control”, proposed in our previ-
ous research [9], is used to calculate the attitude error for a
tail-sitter VTOL UAV. The resolved tilt-twist angle feedback
control increases stability against large attitude disturbance.
Section III.Bbriefly reviews this control method.
The block of “Attitude transition strategy” generates errors
around the Xb,Yband Zbaxis of the coordinates of the aircraft
body. These errors are defined as
ω
j,(j=13). These
attitude errors and altitude error are sent to the PID controller.
The PID controller generates the desired differential thrusts
for Xb,Ybaxis control, the desired torque for Zbaxis control
and desired total thrust for altitude control. These desired
difference thrusts, torque and total thrust are given as follows:
δ
j=KP
ω
j+KI
ω
jdt +KD˙
ω
j,(j=13)(1)
Ttotal =KPh+KIhdt +KD˙
h+mg,(2)
where
δ
1,
δ
2, and
δ
3are the desired differential thrust for Xb
axis control, Ybaxis control, and the desired torque for Zb
axis control, respectively. Tt otal is the desired total thrust and
hdenotes the error between reference and current altitude.
The PID gains are provided by the ultimate sensitivity
method, and empirically tuned up.
These values are sent to the distributor, which calculates
revolution speed of each motor and transforms into control
command (PWM signal). The calculated PWM signals are
finally sent to each motor.
B. Attitude transition strategy
This subsection briefly reviews “Resolved Tilt-Twist An-
gle Feedback Control” [9]. In the above control sequence,
the attitude error is resolved into the tilt and twist angles.
The tilt angle is composed of two angles of orthogonal axes.
The method is composed of the following steps.
In the first step, the pitch and yaw errors are derived in
the analogy of inverted pendulum. The pitch and yaw errors
provide the tilt angle of the aircraft. Firstly, the error rotation
matrix REbetween the reference orientation Rre f and the
current orientation Rcur is determined as follows:
RE=RT
cur Rre f =
RE11 RE12 RE13
RE21 RE22 RE23
RE31 RE32 RE33
,(3)
Rre f =exr eyr ezr ,(4)
Rcur =exc eyc ezc.(5)
The elements of Xbaxis in REgives pitch and yaw errors
as follows:
θ
Y=atan2(RE31,RE11 ),(6)
θ
Z=atan2(RE21,RE11 ).(7)
Then,
θ
Yand
θ
Zdefine the tilt angle
θ
tilt as follows:
θ
tilt =
θ
2
Y+
θ
2
Z,(8)
In the second step, the roll error is derived. The attitude
of the aircraft after rotation of
θ
tilt becomes as follows:
Rv=exp(
v
θ
tilt ),for RE=E
E,for RE=E(9)
where Eis a 3×3 identity matrix, vis the rotation axis vector
given by normalized cross product of exr and exc as follows:
v=exc ×exr
|exc ×exr|vxvyvzT
,(10)
The hat operator
{·} indicates a skew-symmetric matrix.
The UAV attitude RPafter
θ
tilt attitude change is given
by using Rvas follows:
RP=RvRcexp ey p ezp ,(11)
319
where ejp (j=x,y,z)are the unit vectors along jaxis of
the body coordinate frame after compensating the tilt with
respect to the inertial coordinate frame. The absolute roll
error is defined as follows:
θ
twist =cos1ez p ·ezr
|ezp ||ezr|(12)
Since the range of roll angle of the aircraft is from -180 []
to 180 [], the sign of the roll error must be identified. In
order to identify the sign of the roll error
θ
X,
θ
sign is defined
as follows:
θ
sign =cos1eyp ·ezr
|eyp ||ezr|(13)
By using
θ
sign, the roll error
θ
Xof the UAV is identified as
follows:
θ
X=
θ
twist ,for
θ
sign
π
2
θ
twist ,for
θ
sign
π
2.
(14)
In the third step, the errors around the Xb,Yband Zbaxis
on the aircraft body coordinates are calculated to compensate
each axis error simultaneously. Therefore, the pitch and yaw
errors in the inertial coordinates must be projected onto the
aircraft body coordinates, which is expressed by rolling
θ
X
around Xbaxis in the inertial coordinates as follows:
ω
1
ω
2
ω
3
=
1 0 0
0 cos
θ
Xsin
θ
X
0 sin
θ
Xcos
θ
X
θ
X
θ
Y
θ
Z
.(15)
The above errors are finally sent to the PID controller.
IV. EXP ER IM EN TAL VERIFICATION
This section presents experimental verification of the
developed quad rotor tail-sitter VTOL UAVs. Firstly, we
compare the performance of the attitude control between the
cross-type of UAV and the asterisk-type of UAV to qualita-
tively analyze the effect of slipstream in the flight. Then,
the UAV with better performance is used to demonstrate
transition and level flight.
A. Effect of slipstream
In our previous research in [8], we confirmed that it is
possible to develop the quad rotor tail-sitter VTOL UAV
without using any control surfaces. However, the simulation
did not include the influence of the slipstream in detail.
Therefore, to experimentally analyze the effect of the slip-
stream, we developed two types of UAVs, namely cross-type
and asterisk-type of UAVs as shown in Section II. As one
can imagine, when the main wing is allocated right under
the propellers, the slipstream generates forces to rotate the
airframe to opposite direction from the rotational direction
produced by the anti-torque of the propellers around the Zb
axis since the slipstream hits on the surface of the main
wing. In the cross-type of UAV equipped with only main
wing, the effect of the anti-torque of the propellers right
above the main wing is counteracted by the effect of the
slipstream. Therefore, the UAV always easily rotate in one
direction. Accordingly, the effect of the slipstream leads to
the difficulty of the attitude control. To solve this problem,
0 2000 4000 6000 8000
0
0.05
0.1
0.15
0.2
0.25
Torque [Nm]
Propeller revolution speed [rpm]
Asterisk
Cross (only main wing)
Cross (with auxiliary wing)
CQ Asterisk = 0.027
Torque
Coefficients
Asterisk type
CQ cross= 0.014
Cross type
CQ cross auxiliary= 0.027
Cross type
(auxiliary wing)
Fig. 4. Torque of slipstream and torque coefficients
there are two solutions. One is to attach auxiliary wings
under the other propellers in the cross-type of UAV. Another
solution is to place the main wing in the area where the
slipstream does not affect to the attitude control, which is
here the asterisk-type of UAV.
In the following, we investigate the effect of the slipstream
by observing the change of the torque. The change of the
torque around the Zbaxis is observed by a torque sensor
on which the airframe is completely fixed. Fig. 4 shows the
experimental result in which the torque generated around the
Zbaxis is plotted with respect to the revolution speed of the
propeller. Fig. 4 clearly shows that the torque of the cross-
type of UAV is drastically reduced compared to that of the
asterisk-type of UAV. In general, the torque generated by the
propellers is expressed by the following equation.
Q=
ρ
n2D5CQ(16)
where nstands for the revolution speed of the propeller,
ρ
is the atmospheric density and Dis the propeller diameter.
The torque coefficient, CQdepends on the propeller form and
indicates the performance of the propeller. Fig. 4 shows the
torque coefficient of two different types of UAV. As shown
in Fig. 4, the asterisk-type of UAV performs almost twice
better than the cross-type of UAV.
B. Attitude control capability
We also carried out experiment of attitude control in
autonomous hovering mode with the cross-type of UAV, the
asterisk-type of UAV and the conventional quad rotor UAV
which has no wing. The total weight of the cross-type of
UAV is 1.18 [kg], the asterisk-type of UAV is 1.39 [kg] and
the conventional quad rotor UAV is 1.19 [kg].
In the experiment, the reference roll, pitch and yaw angles
are 0 []. The flight experiment was performed outdoors, and
wind was blowing from the east to the west about 0.5 1.0
[m/s]. After flying for twenty-three seconds, the experiment
was terminated and these UAVs landed on the ground.
Figs. 5 to 7 show the attitude profiles in the experiment.
In the figures, the dashed line depicts the reference attitude,
the red dotted line depicts the attitude of the cross-type of
UAV, the green solid line depicts the attitude of the asterisk-
type of UAV and the blue bold line depicts the attitude of the
conventional quad rotor UAV, respectively. As can be seen
from Figs. 5 and 6, these UAVs follow up the reference
320
0 5 10 15 20
−45
−30
−15
0
15
30
45
Roll angle [°]
Time [s]
Reference
Cross type
Asterisk type
Conventional type
Fig. 5. Comparison of roll angle
0 5 10 15 20
−45
−30
−15
0
15
30
45
Pitch angle [°]
Time [s]
Reference
Cross type
Asterisk type
Conventional type
Fig. 6. Comparison of pitch angle
0 5 10 15 20
−45
−30
−15
0
15
30
45
Yaw angle [°]
Time [s]
Reference
Cross type
Asterisk type
Conventional type
Fig. 7. Comparison of yaw angle
on the roll and the pitch. In the yaw axis, the attitude of
the asterisk-type of UAV and the conventional quad rotor
UAV converge to the reference while the cross-type of UAV
did not converge to the reference in the experiment. The
yaw control capability of both the asterisk-type of UAV and
the conventional quad rotor UAV was almost same in the
experiment. However, in the case when large disturbance
occurs such as strong wind, it can be predicted that the
yaw control capability of the asterisk-type of UAV should
be degraded.
In any case, the attitude of the asterisk-type of UAV is
more stable than that of the cross-type of UAV. Especially,
the attitude of the asterisk-type of UAV in the yaw axis shows
fast response compared to that of the cross-type of UAV.
Therefore, the experiment of transition and level flight is
carried out with the asterisk-type UAV.
C. Experiment of transition and level flight
The transition and level flight control strategy are experi-
mentally verified using the asterisk-type of UAV. The block
diagram of the flight controller is illustrated in Fig. 3. This
flight experiment was performed outdoors, and wind was
blowing from the east to the west at 1.0 [m/s].
The UAV precedes flight according to the following pre-
defined flight plan.
Step.1–Lifting up to start experiment: The UAV is lifted
up to about 6 [m] in hovering with manual control mode.
Step.2–Switching control mode: The control mode is
automatically switched to autonomous control.
Step.3-Stationary hovering: The UAV performs au-
tonomous stationary hovering on site for 2 seconds. At this
time, the reference roll and pitch are 0 [] and the reference
yaw is -35 [].
Step.4-Transition to level flight: After stationary hover-
ing, the UAV initiates transition flight to the level flight. At
this time, the reference roll is 0 [], yaw is -35 [] and pitch
angle is -75 []. Step.4 continues until the pitch angle reaches
-75 [].
Step.5-Level flight: After the pitch angle reaches -75 [],
the UAV flies with the above mentioned reference attitude
and altitude for 8 seconds. The reference pitch angle is -
75 [] and reference altitude is 6 [m].
Step.6-Transition to hovering to terminate the exper-
iment: After the 8 second level flight, the UAV transits to
hovering flight and flies down to ground.
Fig. 8 shows snapshots of the transition and level flight
experiment. Please refer to the attached movie for more
information. The UAV begins to lift up in manual control
mode at t=0 [s]. At 20.2 seconds after the takeoff, the
control mode switches to autonomous control. As can be seen
in Fig. 8, the UAV maintained almost reference attitude, but
the altitude significantly changed after transition from the
hovering to the level flight. This cause is discussed later.
After flying for eight seconds in level flight mode, the UAV
switched to hovering to terminate the experiment and the
UAV landed on the ground. The total flight time was thirty
three seconds.
Figs. 9 to 11 show the attitude profiles during the experi-
ment. The attitude on every axes was successfully controlled
and it did not have large error until the end of the level flight.
During the transition flight from the hovering to the level
flight, which was started at t=22.2 [s], the pitch reached
the desired angle, -75 [], at t=23.0 [s]. As shown in the
figure, the level flight was successfully accomplished with
constant pitch angle. The maximum pitch error was 7 [] in
the level flight.
After the level flight, attitude was disturbed from t=
30.2 [s] due to the aerodynamics drag generated by transition
flight against the fixed wing. By rapidly lifting the pitch up,
unequal huge drag was generated in right and left side of the
main wing.
In the experiment, the altitude of the UAV was also
controlled by following the controller shown in Fig. 3.
However, the altitude significantly fell in transition flight
and it changed in level flight. The cause of altitude loss in
transition flight is a lack of wing lift. The transition flight
was performed quickly, resulting in producing very little
flight speed. At t=23.0 [s], the calculated flight speed is
about 5.3 [m/s], and the vertical component of the lifting
force (wing lift and rotor thrust) is 8.2[N]. As a result, the
wing lift is insufficient to compensate for the loss in rotor
lifting thrust. Hence, the UAV significantly descended. In
addition, the reason of the altitude change in level flight is
that the USS could not measure the proper distance from the
UAV to the ground due to grass field condition. Nevertheless,
we can see from Fig. 8 that the altitude in level flight was
lifted up. When we analyze the thrust distribution between
the vertical and horizontal component from the total thrust,
the maximum vertical component of thrust becomes 4.8 [N].
This indicates that the controller generated the lift force
321
20.99 [s] 22.19 [s] 22.28 [s] 23.01 [s] 23.13 [s] 23.22 [s]
Hover Transition Transition Transition
Level flight Level flight
Fig. 8. Sequential photographs of the transition and level flight
15 20 25 30
−90
−45
0
45
90
Rotation around Z axis of
ZXY Euler angle [°]
Time [s]
Reference
Result
Manual
Hovering
Autonomous
Hovering
Transition
to
Level flight
Level Flight
Transition
to
Hovering
Fig. 9. Rotation around Z axis of ZXY Euler
angle
15 20 25 30
−90
−45
0
45
90
Rotation around X axis of
ZXY Euler angle [°]
Time [s]
Reference
Result
Manual
Hovering
Autonomous
Hovering
Transition
to
Level flight
Level Flight
Transition
to
Hovering
Fig. 10. Rotation around X axis of ZXY Euler
angle
15 20 25 30
−90
−45
0
45
90
Rotation around Y axis of
ZXY Euler angle [°]
Time [s]
Reference
Result
Manual
Hovering
Autonomous
Hovering
Transition
to
Level flight
Level Flight
Transition
to
Hovering
Fig. 11. Rotation around Y axis of ZXY Euler
angle
greater than the aircraft weight despite of the measured
altitude was not accurate enough.
Consequently, we could verify the transition and level
flight with the developed quad rotor tail-sitter VTOL UAV,
which does not have any control surfaces. The control of the
altitude, however, was not perfectly achieved for the reason
of inaccurate altitude measurement by the USS due to the
grass field. This problem will be solved soon by carrying out
again in the different field condition and establishing more
sophisticated control strategy with a combination of several
sensors so that the UAV can fly in the altitude of our scope,
which is about several meters to several dozen of meters or
indoors of buildings.
V. CONCLUSIONS AND FU TU RE WORKS
This paper described development of two different types of
quad rotor tail-sitter VTOL UAVs named here cross-type and
asterisk-type of UAV. We discussed the autonomous flight
control including hovering, transition and level flight of the
developed quad rotor tail-sitter VTOL UAV.
Firstly, we verified attitude control capability of the two
developed UAVs to analyze the effect of the slipstream which
was not completely modeled in the simulation analysis in
our previous research in [8]. The verification showed that
the asterisk-type of UAV is superior to the cross-type of
UAV in terms of the attitude control capability. Therefore,
the experiment of transition and level flight was performed
with the asterisk-type of UAV. As a result, the asterisk-type
of UAV has succeeded in hovering, transition and level flight.
In the experiment, the attitude was controlled very well and it
could converge to the reference attitude, but the altitude was
not perfectly controlled. Since the lift force was generated
greater than the aircraft weight, the controller itself was
functional. However, the measurement of the altitude seemed
to have an error due to the grass field and the USS capability.
In the future, we will verify the improvement of energy
efficiency of the UAV in the level flight compared with
the conventional quad rotor helicopter. Moreover, we will
establish more sophisticated altitude transition strategy of the
quad rotor tail-sitter UAV for low altitude flight and flight
indoors building. Furthermore, we will analyze aerodynamic
characteristic of the developed UAV by using of wind tunnel
and try to find out optimal aerodynamic configuration for
hovering and level flight.
REFERENCES
[1] B. W. McCormick, “Aerodynamics of V/STOL Flight”, Academic
Press, 1969.
[2] H. Stone, G. Clarke, “Optimization of Transition Maneuvers for a
Tail-Sitter Unmanned Air Vehicle (UAV)”, in Proc. 5th Australian
International Aerospace Congress, Canberra, pp. 105, 2001.
[3] K. Kita, A. Konno, M. Uchiyama, “Transition between Level Flight
and Hovering of a Tail-Sitter Vertical Takeoff and Landing Aerial
Robot”, Advanced Robotics, Vol. 24, pp. 763-781, 2010.
[4] S. Shen, N. Michael and V. Kumar, “Autonomous Multi-Floor Indoor
Navigation with a Computationally Constrained MAV”, in Proc. IEEE
Int. Conf. on Robotics and Automation, pp. 20-25, Shanghai, 2011.
[5] M. Valenti, B. Bethke, D. Dale, A. Frank, “The MIT Indoor Multi-
Vehicle Flight Testbed”, in Proc. IEEE Int. Conf. on Robotics and
Automation, Rome, 2758-2759, 2007.
[6] L. A. Young, E. W. Aiken, J. L. Johnson, R. Demblewski, “New Con-
cepts and Perspectives on Micro-Rotorcraft and Small Autonomous
Rotary-Wing Vehicles”, Ames Research Center, Moffett Field, 2002.
[7] P. Sinha, P. Esden-Tempski, C. A. Forrette, J. K. Gibboney, G. M.
Horn “Versatile, Modular, Extensible VTOL Aerial Platform with
Autonomous Flight Mode Transitions”, in Proc. 2012 IEEE Aerospace
Conference, Montana, pp. 1-17, 2012.
[8] A. Oosedo A. Konno, T. Matsumoto, K. Go, K. Masuko, M.
Uchiyama“Design and Attitude Control of a Quad Rotor Tail-Sitter
Vertical Takeoff and Landing Unmanned Aerial Vehicle”, Advanced
Robotics, Vol. 26, pp. 307-326, 2012.
[9] T. Matsumoto, K. Kita, R. Suzuki, A. Oosedo, K. Go, Y. Hoshino,
A.Konno and M. Uchiyama, “A Hovering Control Strategy for a Tail-
Sitter VTOL UAV that Increases Stability Against Large Disturbance”,
in Proc. IEEE Int. Conf. on Robotics and Automation, Alaska, pp.54-
59, 2010.
322
... To reduce the complexity associated with the derivation of the flight envelope and corresponding state references, some works simply command a step input in the pitch-angle reference to achieve flight-mode transition [64,30,31,65,76,36,56]. These methods are often combined with constant acceleration or altitude-hold controllers for the translational dynamics as shown in Fig. 9. ...
... That being said, these works often require additional modifications in the control structure to achieve satisfactory performance. [56] and [76] use an external maneuver generator to obtain suitable attitude references, while [70] derived a custom mapping to account for the effects of forward and rotational speed on the propeller thrust, as well as using a special tuning function to ensure robustness. In [34,78], it is explicitly mentioned that fixed gains in the controller are not optimal. ...
... Similar to conventional multicopters, the individual rotor speeds can be statically mapped to virtual body forces and moments, as has been done in [76,77,91,80,95,82,83,92,94,93]. If the rotors are mounted symmetrically such as for the prototype in Fig. 23, this relation can be written as: (28) with thrust and drag coefficients c F , c M and moment arm l. ...
Article
Full-text available
This paper provides a broad perspective and analysis of the work done in control of hybrid and convertible unmanned aerial vehicles (UAVs) for the main existing designs. These flying machines are capable of vertical take off and landing (VTOL) in helicopter mode and able to transition to high-speed forward flight in airplane mode and vice versa. This paper aims at helping engineers and researchers develop flight control systems for VTOL UAVs. To this end, a historical perspective first shows the technological advances in VTOL aircraft over the years. The main VTOL concepts and state-of-art flight control methods for VTOL UAVs are presented and discussed. This study shows both the common parts and the fundamental differences in the modeling, guidance, control, and control allocation for each hybrid-VTOL-UAV type. The open challenges and the current trends in the field are highlighted. These are namely: 1) augmenting or replacing classical controllers with data-driven methods such as neural networks and machine-learning-based controllers; 2) incorporating as much knowledge of the vehicle as possible into the flight controller, for example through model predictive control or model-based nonlinear controllers; 3) a trend towards finding a unified-control approach valid in all flight modes without the need to switch among flight controllers or to perform predefined-gain scheduling, and 4) the need to mitigate control complexity and available computing resources.
... Such UAVs hold high potentials for various industrial and civil applications, such as infrastructure inspection, geological surveying, environment mapping, and poster-disaster search and rescue. These exciting opportunities have attracted intensive research interests and led to the development of a variety of tail-sitter UAV prototypes, such as the singlepropeller configuration (Frank et al. 2007;Wang et al. 2017;De Wagter et al. 2018), the shoulder-mounted twin-engine configuration (Bapst et al. 2015; Ritz and D'Andrea 2017; Sun et al. 2018), and the quadrotor configuration (Oosedo et al. 2013;Gu et al. 2018). ...
... Since the tail-sitter dynamics reduce to a rotary-wing model and a fixed-wing model in low-speed vertical flight and high-speed level flight respectively, separated control methods (Frank et al. 2007;Oosedo et al. 2013;Lyu et al. 2017b) usually divide the flight process into three phases -vertical flight (including takeoff, landing and hovering), transition and level flight -and design controllers separately for each phase. The vertical flight dynamics are linearized at the stationary hovering equilibrium (Frank et al. 2007;Matsumoto et al. 2010;Lyu et al. 2017b), and controlled by means of established control methods for quadrotors, such as loop-shaping, , robust control (Lyu et al. 2018b), and model predictive control . ...
Preprint
Full-text available
We address the theoretical and practical problems related to the trajectory generation and tracking control of tail-sitter UAVs. Theoretically, we focus on the differential flatness property with full exploitation of actual UAV aerodynamic models, which lays a foundation for generating dynamically feasible trajectory and achieving high-performance tracking control. We have found that a tail-sitter is differentially flat with accurate aerodynamic models within the entire flight envelope, by specifying coordinate flight condition and choosing the vehicle position as the flat output. This fundamental property allows us to fully exploit the high-fidelity aerodynamic models in the trajectory planning and tracking control to achieve accurate tail-sitter flights. Particularly, an optimization-based trajectory planner for tail-sitters is proposed to design high-quality, smooth trajectories with consideration of kinodynamic constraints, singularity-free constraints and actuator saturation. The planned trajectory of flat output is transformed to state trajectory in real-time with consideration of wind in environments. To track the state trajectory, a global, singularity-free, and minimally-parameterized on-manifold MPC is developed, which fully leverages the accurate aerodynamic model to achieve high-accuracy trajectory tracking within the whole flight envelope. The effectiveness of the proposed framework is demonstrated through extensive real-world experiments in both indoor and outdoor field tests, including agile SE(3) flight through consecutive narrow windows requiring specific attitude and with speed up to 10m/s, typical tail-sitter maneuvers (transition, level flight and loiter) with speed up to 20m/s, and extremely aggressive aerobatic maneuvers (Wingover, Loop, Vertical Eight and Cuban Eight) with acceleration up to 2.5g.
... Many researchers have developed different hybrid UAVs. For example, Oosedo et al. designed a quadrotor tail-sitter UAV [1] and a strategy for optimal transition [2], while a VertiKUL quadrotor tail-sitter UAV with no controlling surface is suitable [3] for an application of parcel delivery. Swarnkar et al. [4] present a comprehensive six degrees of freedom mathematical modeling of the biplane quadrotor, which is utilized along with a nonlinear dynamic inverse control design, and a variable pitch flight demo and proof-of-concept [5]. ...
Article
Full-text available
A biplane quadrotor (hybrid vehicle) benefits from rotary-wing and fixed-wing structures. We design a dual observer-based autonomous trajectory tracking controller for the biplane quadrotor. Extended state observer (ESO) is designed for the state estimation, and based on this estimation, a Backstepping controller (BSC), Integral Terminal Sliding Mode Controller (ITSMC), and Hybrid Controller (HC) that is a combination of ITSMC + BSC are designed for the trajectory tracking. Further, a Nonlinear disturbance observer (DO) is designed and combined with ESO based controller to estimate external disturbances. In this simulation study, These ESO-based controllers with and without DO are applied for trajectory tracking, and results are evaluated. An ESO-based Adaptive Backstepping Controller (ABSC) and Adaptive Hybrid controller (AHC) with DO are designed, and performance is evaluated to handle the mass change during the flight despite wind gusts. Simulation results reveal the effectiveness of ESO-based HC with DO compared to ESO-based BSC and ITSMC with DO. Furthermore, an ESO-based AHC with DO is more efficient than an ESO-based ABSC with DO.
... In [7], a commercial hybrid VTOL UAV system with detachable and changeable wings is designed, and the related aerodynamic and structural configuration analysis is performed as well. In [8], a tail-sitter VTOL UAV is developed and tested with experimental verifications, which does not require conventional control surfaces in hovering flight mode compared to other types of tail-sitter VTOL UAVs. In [9], a transition flight modeling of a tilt-rotor VTOL UAV is presented which specially considers the aerodynamic effect of propeller-induced airstream. ...
Article
Full-text available
This paper proposes an adaptive fault-tolerant control strategy for a hybrid vertical take-off and landing (VTOL) unmanned aerial vehicle (UAV) to simultaneously compensate actuator faults and model uncertainties. With the proposed adaptive control schemes, both actuator faults and model uncertainties can be accommodated without the knowledge of fault information and uncertainty bounds. The proposed control scheme is constructed with two separate control modules. The low-level control allocation module is used to distribute the virtual control signals among the available redundant actuators. The high-level control module is constructed with an adaptive sliding mode controller, which is employed to maintain the overall system tracking performance in both faulty and uncertain conditions. In the case of actuator faults and model uncertainties, the adaptive scheme will be triggered to generate more virtual control signals to compensate the virtual control error and maintain the desired system tracking performance. The effectiveness of the proposed control strategy is validated through comparative simulation tests under different faulty and uncertain scenarios.
... 10 While, the features of VTOL and the flexibility of the multirotor UAV benefit from powerful rotors and its arrangements. 11 The tail-sitter UAV designed in this article adopts an axisymmetric configuration, which is composed of a fuselage, four wings, four tails and four rotors, called the quadrotor tail-sitter UAV. The conceptual overall structure is shown in Figure 1. ...
Article
Full-text available
The tail-sitter unmanned aerial vehicles have the advantages of multi-rotors and fixed-wing aircrafts, such as vertical takeoff and landing, long endurance and high-speed cruise. These make the tail-sitter unmanned aerial vehicle capable for special tasks in complex environments. In this article, we present the modeling and the control system design for a quadrotor tail-sitter unmanned aerial vehicle whose main structure consists of a traditional quadrotor with four wings fixed on the four rotor arms. The key point of the control system is the transition process between hover flight mode and level flight mode. However, the normal Euler angle representation cannot tackle both of the hover and level flight modes because of the singularity when pitch angle tends to [Formula: see text]. The dual-Euler method using two Euler-angle representations in two body-fixed coordinate frames is presented to couple with this problem, which gives continuous attitude representation throughout the whole flight envelope. The control system is divided into hover and level controllers to adapt to the two different flight modes. The nonlinear dynamic inverse method is employed to realize fuselage rotation and attitude stabilization. In guidance control, the vector field method is used in level flight guidance logic, and the quadrotor guidance method is used in hover flight mode. The framework of the whole system is established by MATLAB and Simulink, and the effectiveness of the guidance and control algorithms are verified by simulation. Finally, the flight test of the prototype shows the feasibility of the whole system.
... In 2015, a quadrotor tail-sitter applied to parcel delivery was developed [3]. The works about fundamental attitude and position control and optimization of the transition flight are also carried out for a quadrotor tail-sitter [4] [5]. The authors are with Beihang University, Beijing 100191, China (email:qq buaa@buaa.edu.cn). ...
Article
Full-text available
As a novel VTOL unmanned aerial vehicle, lifting-wing multicopter with simple structure, good stability and longer flight range has been unveiled to be in service. But how to make range as long as possible to realize its potential advantages is one of the key issues in the practical application of lifting-wing multicopter. Thus, this study aims to propose a range and transition time performance evaluation to realize a sizing optimization design method for the lifting-wing multicopter. First, the dynamic model and the propulsion system model are established. Based on these models, evaluation methods for range and transition time performance are obtained with the consideration of mounting angle. Second, the influences of the main parameters on range performance are studied to offer references for design. Then, an explicit design process is proposed. Finally, a prototype is implemented, and flight experiments are performed to verify the evaluation and design method. The results indicate that the performance evaluation method has enough accuracy and suggest that it is possible to design a lifting-wing multicopter using the presented design method.
... In [5], the researchers proposed a full-altitude controller for hovering, transition, and level flight. Oosedo et al. [6] designed a quadrotor tail-sitter UAV with high accuracy in altitude control in both hovering and level-flight modes. Later, Oosedo et al. have provided strategies for optimal transition from hovering to level flight [7] through normal transition, minimizing the transition time, and minimizing the transition time with constant altitude. ...
Article
Full-text available
The application scope of unmanned-aerial vehicles (UAVs) is increasing along with commensurate advancements in performance. The hybrid quadrotor vertical take-off and landing (VTOL) UAV has the benefits of both rotary-wing aircraft and fixed-wing aircraft. However, the vehicle requires a robust controller for take-off, landing, transition, and hovering modes because the aerodynamic parameters differ in those modes. We consider a nonlinear observer-based backstepping controller in the control design and provide stability analysis for handling parameter variations and external disturbances. We carry out simulations in MATLAB Simulink which show that the nonlinear observer contributes more to robustness and overall closed-loop stability, considering external disturbances in take-off, hovering and landing phases. The backstepping controller is capable of decent trajectory tracking and during the transition from hovering to level flight and vice-versa with nominal altitude drop.
Chapter
The hybrid mode UAV has the characteristics of a fixed-wing UAV for high-speed cruising, but also has the functions of a rotary-wing UAV for vertical take-off and landing, fixed-point hovering and low-speed maneuver, which can be an effective solution for the future of the small and medium-sized UAV field. The most prominent feature of the hybrid mode UAV is the existence of a transition flight phase, which can be divided into forward transition and backward transition. In this study, the trajectory optimization problem for transition flight is transformed into a nonlinear programming problem and solved by the direct collocation method. According to the given state and constraints, the optimal transition strategy is obtained by solving the forward and backward transition flight phases respectively while maintaining a constant height, with the minimum energy consumption as the objective.
Chapter
A hybrid UAV, like a biplane quadrotor, has many applications in agriculture, disaster management, and relief operation. In this chapter, we designed a dual observer, (i) an Extended state observer (ESO) for the state approximation and (ii) a Nonlinear Disturbance Observer (DO) for the exterior disturbance estimation. There are three different nonlinear controllers; (i) Backstepping Controller (BSC), (ii) Integral Terminal Sliding Mode Controller (ITSMC), and Hybrid Controller (ITSMC + BSC) are designed, and ESO (with and without DO) are applied for the trajectory tracking to evaluate the results. Mass change during the flight despite wind gusts is also handled using the Adaptive Backstepping controller (ABSC) and Adaptive hybrid controller with ESO and DO.
Article
Full-text available
This paper summarizes ongoing work concerning micro-rotorcraft (MRC)--i.e., rotary-wing micro air vehicles (MAV)-- research and development. Technology trends involving microelectronic miniaturization, vehicle autonomy systems, electric propulsion and power electronics are contributing to an ongoing revolution in MAV and MRC aerial vehicle concepts and applications. New vehicle configurations are being developed, as well as old concepts being reassessed, for MAV and MRC vehicles.
Conference Paper
Full-text available
The application range of UAVs (unmanned aerial vehicles) is expanding along with performance upgrades. Vertical take-off and landing (VTOL) aircraft has the merits of both fixed-wing and rotary-wing aircraft. Tail-sitting is the simplest way for the VTOL maneuver since it does not need extra actuators. However, conventional hovering control for a tail-sitter UAV is not robust enough against large disturbance such as a blast of wind, a bird strike, and so on. It is experimentally observed that the conventional quaternion feedback hovering control often fails to keep stability when the control compensates large attitude errors. This paper proposes a novel hovering control strategy for a tail-sitter VTOL UAV that increases stability against large disturbance. In order to verify the proposed hovering control strategy, simulations and experiments on hovering of the UAV are performed giving large attitude errors. The results show that the proposed control strategy successfully compensates initial large attitude errors keeping stability, while the conventional quaternion feedback controller fails.
Conference Paper
This paper presents the Quadshot, a novel aerial robotic platform with Vertical Take-Off and Landing (VTOL) capability. Highly dynamic maneuverability is achieved via a combination of differential thrust and aerodynamic surfaces (elevons). The relaxed stability, flying wing, tail-sitter configuration, Radio Controlled (RC) airframe is actively stabilized by onboard controllers in three complementary modes of operation, i.e. hover, horizontal flight and aerobatic flight. In hover mode the vehicle flies laterally, similar to a quadrotor helicopter, can maintain accurate position for aiming payload and land with pinpoint accuracy when equipped with a GPS unit. In horizontal and aerobatic modes it flies like an airplane to cover larger distances more rapidly and efficiently. Dynamic modeling and control algorithms have been discussed before for quadrotors [1]-[4] and classical aircraft configurations, as have other VTOL concepts such as tilt-rotors (eg. the V-22 Osprey) and tail-sitters (eg. the Sydney Univ. T-wing and the Convair XFY-1 Pogo) [5]-[6]. The important contributions of this paper are the combined use of differential thrust in multiple axes and aerodynamic surfaces for flight control, the assisted transition between hover and forward flight control modes with pitch rotation of the entire airframe and the elimination of failure-prone mechanisms for thruster tilting. The development and use of highly extensible Open Source Software and Hardware from the Paparazzi project in a transitioning vehicle is also novel. The vehicle is made highly affordable for both researchers and hobbyists by the use of the Paparazzi Open Source Software [16] and its Lisa embedded avionics suite. Careful attention to the mechanical design promotes large scale manufacturing and easy assembly, further bringing down the cost. The materials selected create a highly durable airframe, which is still inexpensive. Modular airframe design enables quick modification of actuators and electron- cs, allowing a greater variety of missions. The electronics are also designed to be extensible, supporting the addition of extra sensors and actuators. Custom designed airfoils provide good payload capacity while maintaining 3D aerobatic flight capability; the wing design ensures adequate stability for manual glide control in non-normal situations. This paper covers the software, mechanical and electronic hardware design, control algorithms and aerodynamics associated with this airframe. Experimental flight control results and the design lessons learned are discussed.
Article
In this paper, we present the development of a quad-rotor tail-sitter unmanned aerial vehicle (UAV) that is composed of quad rotors and a fixed wing. The developed UAV can hover like a quad-rotor helicopter and can fly long distance like a fixed-wing airplane. The main wing of the developed UAV is taken from a commercially available radio-controlled airplane and other parts such as the body frame are newly developed. A microcomputer, various sensors and a battery are mounted on the UAV for autonomous flight without any support from a ground system. Attitude and altitude control systems are developed for the UAV. In order to verify the designed controller, a three-dimensional flight simulator of a quad-rotor tail-sitter UAV is developed by use of MATLAB/Simulink. This paper also describes attitude control experiments. The results show that the propeller slipstream has a negative influence on attitude control. Solutions for the negative influence of the propeller slipstream are also discussed in this paper.
Article
This paper describes work done in optimizing the transition manoeuvres between vertical and horizontal flight for a tail-sitter unmanned air vehicle. This work is part of an ongoing research program involving the construction and test of a concept demonstrator tail-sitter UAV, the "T-Wing," that is being undertaken by the University of Sydney in collaboration with Sonacom Pty Ltd. The use of an unmanned air-vehicle (UAV) with a vertical take-off and landing (VTOL) capability that can still enjoy efficient horizontal flight promises significant operational advantages over other vehicles. However, the transition between these phases of flight is one problem that needs to be addressed to make the vehicle effective. This paper looks at using numerical optimization techniques coupled with a 6-DOF non-linear model of the vehicle to obtain the best possible transition maneuvers in terms of minimizing such things as the time to complete the transition and any excess height gain during the maneuver as well as avoiding unpredictable regions of the flight envelope.
Conference Paper
This paper and video present the components and flight tests of an indoor, multi-vehicle testbed that was developed to study long duration UAV missions in a controlled environment. This testbed is designed to use real hardware to examine research questions related to single- and multi-vehicle health management, such as vehicle failures, refueling, and maintenance. The testbed has both aerial and ground vehicles that operate autonomously in a large, indoor flight test area and can be used to execute many different mission scenarios. The success of this testbed is largely related to our choice of vehicles, sensors, and the system's command and control architecture. The video presents flight test results from single- and multi-vehicle experiments over the past year.
Conference Paper
In this paper, we consider the problem of autonomous navigation with a micro aerial vehicle (MAV) in indoor environments. In particular, we are interested in autonomous navigation in buildings with multiple floors. To ensure that the robot is fully autonomous, we require all computation to occur on the robot without need for external infrastructure, communication, or human interaction beyond high-level commands. Therefore, we pursue a system design and methodology that enables autonomous navigation with real time performance on a mobile processor using only onboard sensors. Specifically, we address multi-floor mapping with loop closure, localization, planning, and autonomous control, including adaptation to aerodynamic effects during traversal through spaces with low vertical clearance or strong external disturbances. We present experimental results with ground truth comparisons and performance analysis.
Article
This paper presents the vertical takeoff, landing and transition between level flight and hovering of a tail-sitter vertical takeoff and landing (VTOL) aerial robot. The tail-sitter is suitable for micro aerial vehicles because it does not need any extra equipment for the VTOL maneuver. The developed tail-sitter aerial robot is equipped with four actuators for controlling ailerons, an elevator, a rudder and a propeller. A micro computer, various sensors and a battery are mounted on the aerial robot for autonomous flight without any support from a ground system. A transition flight strategy is constructed so that the transition finishes in the shortest time restricting an altitude change. In order to achieve the transition strategy, the reference trajectory of the pitch angle is computed offline by using an optimization technique. In the transition flight control system, a PID feedback controller is applied to attitude control, while a feedforward controller is applied to altitude control. The gain scheduling is applied to the control of the rudder and aileron. The experimental results on the transition between level flight and hovering, takeoff, and landing are presented.
Aerodynamics of V/STOL Flight
  • B W Mccormick
B. W. McCormick, "Aerodynamics of V/STOL Flight", Academic Press, 1969.