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Fault-tolerant control for linear system with actuator and sensor simultaneous faults
Abstract
This paper studies a continuous linear control system with actuator and sensor faults for its guaranteed cost control and H∞ control. When the actuator and the sensor synchronize fault, in view of the actuator and the sensor performance's quality increase the quality of normal actuator and sensor under guarantee the system stabled, enables the system to have certain performance and along with increasing the normal actuator and the sensor system's performance will no less than the system with less normal actuator and sensor. The developed theory is illustrated by a simulation example, which shows the validity of the proposed method and the necessity of such a satisfactory fault-tolerant control.
This study develops a passive fault‐tolerant control (FTC) method with weak conservatism for the discrete parameter system. For the first time, application of (0‐1) and symbolic parameters for describing the discrete parameter system is given. In addition, the relationship between the discrete parameter domain and the control strategy feasible set is discussed. This paper mainly discusses the significance of the intersection set of control strategy feasible sets for passive FTC. Moreover, a suggestion that the intersection set can be constructed in the absence of the intersection set by changing the topology of the controlled object or changing the controller, or combining both options is proposed. Furthermore, the conditions of obtaining a global‐optimal passive FTC strategy and a local‐optimal passive FTC strategy are analyzed, which depend on the size of the control strategy feasible set for optimizing. Finally, the simulation is carried out to show the validity of the proposed passive FTC scheme.
This paper deals with the problem of robust reliable control for a class of uncertain neutral delay systems. The aim was to design a state feedback controller such that the plant remained stable for all admissible uncertainties as well as actuator faults among a prespeci®ed subset of actuators or sector-type actuator non-linearity, independently of the delay time. A linear matrix inequality approach was developed to solve the problem addressed with an H1 norm bound constraint on disturbance attenuation.
This note investigates process fault accommodation in a class of nonlinear continuous-time systems. A new fault estimation module, based on an adaptive estimator, is first proposed. The fault tolerant controller is constructed to compensate for the effect of the faults by stabilizing the closed-loop system. A flexible joint robotic example is given to illustrate the efficiency of the proposed approach
The reliable H∞ control design problem for linear uncertain systems in dealt with using observer-based output feedback. A reliable control design scheme is proposed for the case of a simultaneous presence of actuator failures and sensor failures. An approach of linear matrix inequalities (LMIs) is developed to solve the problem addressed. Based on this approach, observer-based feedback control laws are designed that guarantee closed-loop asymptotic stability and reduction of the effect of an augmented disturbance input on the controlled output of a prescribed level, not only when the system is operating properly, but also under actuator and sensor failures. A numerical example is presented to demonstrate the applicability and effectiveness of the proposed approaches.
This paper is concerned with the reliable design problem for linear systems. A more practical model of sensor and actuator failures than outage is considered. Procedures for designing reliable controllers are presented for the case of sensor failures and actuator failures that can be modeled by a scaling factor and a disturbance. The resulting control systems are reliable in that they provide guaranteed asymptotic stability and H∞ performance when all control components (sensors and actuators) are operational as well as when some control components experience failures. A numerical example is also given to illustrate the design procedures and their effectiveness.
This paper is concerned with the synthesis of a state feedback control system which possesses both integrity and good responses. System integrity in multivariable control systems is defined as the property that the overall closed-loop system remains asymptotically stable in the presence of a failure in the feedback loop. A state feedback control law which retains asymptotic stability against arbitrary actuator failure is derived using a positive semidefinite solution of a type of matrix quadratic equation, and some properties of the closed-loop system are considered. Moreover, a design procedure by which the closed-loop system has the desired dynamical characteristics while maintaining integrity is proposed, and the effectiveness of the procedure is demonstrated with a numerical example.
Presents a solution to a reliable filtering problem with error
variance specifications. A given higher bound of the filtering error
variance in the sensor failure cases is guaranteed and the performance
in the nominal case is optimized. A new formulation in terms of LMI is
adopted without introducing additional conservativeness. An iterative
algorithm is given to obtain the solution, which is illustrated by a
numerical example
The paper considers the problem of LQ regulator design for
discrete-time systems with actuator failures. The problem is to design a
reliable LQ state feedback regulator which can tolerate actuator
failures, such that the cost of the system is guaranteed to be within a
certain bound. The state feedback control design for guaranteed cost
control is given in terms of solution to an algebraic Riccati equation.
The resulting control system is reliable, in that it provides guaranteed
asymptotic stability despite some actuator failures. A numerical example
shows the effectiveness of the method
This paper deals with the problem of flight tracking control against actuator faults using the linear matrix inequality (LMI) method and adaptive method. An adaptive fault-tolerant flight controller design method is developed based on the online estimation of an eventual fault and the addition of a new control law to the normal control law in order to reduce the fault effect on the system without the need for a fault detection and isolation (FDI) mechanism. In the framework of LMI approach, the normal tracking performance of the resultant closed-loop system is optimized without any conservativeness and the states of fault modes asymptotically track those of the normal mode. A numerical example of an F-16 aircraft model and its simulation results are given
This paper presents a solution to a reliable filtering problem with error variance specifications for both continuous- and discrete-time systems. The filtering error variance in the sensor failure cases is guaranteed to be less than a given upper bound while the performance in the nominal case is optimized. A convergent iterative algorithm based on linear matrix inequality (LMI) is given to obtain the solution. The algorithm solves the problem without introducing additional conservativeness, and it is shown to get better performance and be less conservative compared with traditional LMI approaches. A numerical example is given to show the advantages of our approach over existing techniques.
This paper addresses the control of a system after an actuator has failed: A reconfiguration of the control structure is sought which keeps the system operational. The goal is to find a different set of actuators for controlling the plant and to use them in such a way that the plant output is identical to the output of the nominal closed-loop system. It is further required that the nominal controller remains part of the reconfigured control loop. This paper shows that this reconfiguration problem is equivalent to a disturbance decoupling problem which is solved by means of the geometric approach. The resulting solution is a reconfiguration block, which generates suitable inputs for the faulty plant based on the output of the nominal controller. The feasibility of this approach is demonstrated by a physical experiment with a helicopter model
This paper addresses the problem of optimal H2 control
by output feedback. Necessary and sufficient conditions on the existence
of a linear stabilizing output feedback gain are provided in terms of
the intersection of a convex set and a set defined by a nonlinear real
valued function. The results can be easily extended to deal with linear
uncertain systems, where uncertainties are supposed to belong to convex
bounded domains providing an H2-guaranteed cost output
feedback control. Thanks to the properties of the above-mentioned
function, we show that under certain conditions, convex programming
tools can be used for numerical purposes. Examples illustrate the
theoretical results
Robust H∞ control design for linear systems with uncertainty in both the state and input matrices is treated. A state feedback control design which stabilizes the plant and guarantees an H∞-norm bound constraint on disturbance attenuation for all admissible uncertainties is presented. The robust H∞ control problem is solved via the notion of quadratic stabilization with an H∞-norm bound. Necessary and sufficient conditions for quadratic stabilization with an H∞-norm bound are derived. The results can be regarded as extensions of existing results on H∞ control and robust stabilization of uncertain linear systems.
Morden Fault Diagnosis and Fault-Tolerant Control
- Z D Hua
- Y Y Zhou