Federico Zaccaria’s research while affiliated with École Centrale de Nantes and other places

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Publications (11)


Directional Critical Load Index: A Distance-to-Instability Metric for Continuum Robots
  • Article

January 2024

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9 Reads

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1 Citation

IEEE Transactions on Robotics

Federico Zaccaria

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Equilibrium stability assessment is a primary issue in continuum robots (CRs). The possible stable-to-unstable transitions that CRs may admit complicate the use of CRs in tasks where safety and human-robot interactions are mandatory. In this context, metrics measuring the distance from instability are essential but rarely developed. Existing metrics are frequently based on the evaluation of matrices involving mixed units, thus resulting in unit-dependent metrics. Moreover, the physical meaning of existing metric is hard to interpretate. This paper proposes to use the magnitude of a force that brings instability to the CR equilibrium as a measure of the distance to instability. The major advantages of this metric are the intrinsic physical meaning, the practical interpretation of the results, and the welldefined unit of the measurements. The proposed metric (named directional critical load index) is based on the linearization of the eigenvalues of the reduced Hessian matrix of the total potential energy, which can be achieved regardless of the employed discretization technique. Three different case studies illustrate and demonstrate the main results of this paper


Singularity Conditions of Concentric Tube Robots

November 2023

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37 Reads

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1 Citation

This paper derives singularity conditions for concentric tube robots (CTRs). To the scope, we build the CTR geometrico-static model using discretization techniques, which are suitable for several currently-used CTRs models. Then, we obtain singularity conditions by performing a linearization of the geometrico-static model. We define Type-1 and Type-2 singularities, which are related to the unsolvability of the inverse and forward kinematostatic problems, respectively. Moreover, we also show the link between Type-2 singularities and CTR equilibrium stability. A case study with a two-tube CTR is proposed to illustrate our results.


Total Least Squares In-Field Identification for MEMS-Based Triaxial Accelerometers

November 2023

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24 Reads

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2 Citations

Micro-electro-mechanical system-based (MEMS-based) triaxial accelerometers are fundamental components of Inertial Measurement Units, and their use is widespread across various fields, such as the entertainment industry, robotics, and navigation systems. Various applications require that the cost of the sensor is not too high, which makes MEMS-based sensors a sensible choice. Unfortunately, low-cost MEMS are affected by relevant systematic errors which are time and environmental-condition dependent and thus require frequent re-calibration. Thus, simple calibration or identification methods, that a non-expert user can perform in the field without requiring costly equipment, are of interest. In this paper, we present an in-field identification procedure for MEMS-based triaxial accelerometers based on the linear Total Least Squares method.



A Boundary Computation Algorithm for the Workspace Evaluation of Continuum Parallel Robots

May 2023

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45 Reads

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6 Citations

Journal of Mechanisms and Robotics

In this paper, a new algorithm for the computation of workspace boundaries of continuum parallel robots (CPRs) is proposed. State-of-the-art techniques are mainly based on time-consuming joint-space discretization approaches or task-space discretization algorithms, and only a few approaches are dedicated to the computation of workspace boundaries. The proposed approach for the computation of the workspace boundaries is based on i) a free-space exploration strategy and ii) a boundary reconstruction algorithm. The former is exploited to identify an initial workspace boundary location (exterior, interior boundaries, and holes), while the latter is used to reconstruct the complete boundary surface. Moreover, the algorithm is designed to be employed with CPRs modelling strategies based on general discretization assumptions, in order to increase its applicability for various scopes. Our method is compared with two state-of-the-art algorithms in four case studies to validate the results and to establish its merits and limitations.


An overview of the complete mechanism (a), the cam shaft (b), the 5-bar linkage used for the gripper movement (c), and the gripper actuation mechanism (d).
(a) Gripper position where the paper tags are received, (b) experimentally-identified direction of oscillation, (c) deliver position, (d) deliver position with paper tag delivered.
(a) CAD of the five-bar mechanism, (b) schematics of the five-bar mechanism.
Magnitude of the base force F0 for a single operating cycle.
Discretization of the mechanism employed for the modal analysis.

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Optimal Design for Vibration Mitigation of a Planar Parallel Mechanism for a Fast Automatic Machine
  • Article
  • Full-text available

September 2022

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127 Reads

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4 Citations

This work studies a planar parallel mechanism installed on a fast-operating automatic machine. In particular, the mechanism design is optimized to mitigate experimentally-observed vibrations. The latter are a frequent issue in mechanisms operating at high speeds, since they may lead to low-quality products and, ultimately, to permanent damage to the goods that are processed. In order to identify the vibration cause, several possible factors are explored, such as resonance phenomena, elastic deformations of the components, and joint deformations under operation loads. Then, two design optimization are performed, which result in a significant improvement in the vibrational behaviour, with oscillations being strongly reduced in comparison to the initial design.

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Fig. 1. Representation of Cosserat rod (on the left) and of a generic CPR (on the right).
Fig. 2. Representation of the distal plate joint. On the left its definition, on the right considerations about the geometrical constrains.
Fig. 4. Simulation of three Stewart-Gough like platforms with different joint types.
A Gazebo Simulator for Continuum Parallel Robots

June 2022

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147 Reads

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3 Citations

Continuum Parallel Robots (CPRs) combine properties of continuum and parallel rigid-link robots. They inherit simplicity, compliance, and cost-effectiveness from the first as payload capacity and stiffness from the latter. In this paper, we propose to use Gazebo and ROS to provide a generalized simulator for CPRs, in terms of their joints and geometry, while we use the Cosserat rod theory to model their deformable bodies. We exploit our simulator to solve the direct and inverse geometrico-static models of CPRs and to provide a useful base for simulations.


Workspace Computation of Planar Continuum Parallel Robots

January 2022

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83 Reads

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19 Citations

IEEE Robotics and Automation Letters

Continuum Parallel robots (CPRs) comprise several flexible beams connected in parallel to an end-effector. They combine the inherent compliance of continuum robots with the high payload capacity of parallel robots. Workspace characterization is a crucial point in the performance evaluation of CPRs. In this paper, we propose a methodology for the workspace evaluation of planar continuum parallel robots (PCPRs), with focus on the constant-orientation workspace. An explorative algorithm, based on the iterative solution of the inverse geometrico-static problem is proposed for the workspace computation of a generic PCPR. Thanks to an energy-based modelling strategy, and derivative approximation by finite differences, we are able to apply the Kantorovich theorem to certify the existence, uniqueness, and convergence of the solution of the inverse geometrico-static problem at each step of the procedure. Three case studies are shown to demonstrate the effectiveness of the proposed approach.


Toward Future Automatic Warehouses: An Autonomous Depalletizing System Based on Mobile Manipulation and 3D Perception

June 2021

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492 Reads

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23 Citations

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Alberto Baldassarri

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[...]

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Federico Zaccaria

This paper presents a mobile manipulation platform designed for autonomous depalletizing tasks. The proposed solution integrates machine vision, control and mechanical components to increase flexibility and ease of deployment in industrial environments such as warehouses. A collaborative robot mounted on a mobile base is proposed, equipped with a simple manipulation tool and a 3D in-hand vision system that detects parcel boxes on a pallet, and that pulls them one by one on the mobile base for transportation. The robot setup allows to avoid the cumbersome implementation of pick-and-place operations, since it does not require lifting the boxes. The 3D vision system is used to provide an initial estimation of the pose of the boxes on the top layer of the pallet, and to accurately detect the separation between the boxes for manipulation. Force measurement provided by the robot together with admittance control are exploited to verify the correct execution of the manipulation task. The proposed system was implemented and tested in a simplified laboratory scenario and the results of experimental trials are reported.


A Mobile Robotized System for Depalletizing Applications: Design and Experimentation

June 2021

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621 Reads

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12 Citations

IEEE Access

In this paper, a mobile manipulation system for automatized logistic applications is presented. The robotic system is specifically designed for depalletizing/palletizing tasks, namely is product extraction from homogeneous pallets and assembly of new heterogeneous pallets. The robotic system is mainly composed by an autonomous vehicle, a collaborative robotic arm and a lifting device, which is able to collect products from different pallet layers. The handling strategy is not based on lifting items, as in classical pick-and-place operations, but on dragging them aboard the mobile vehicle. As the payload weight is not supported by the arm, the overall robotic system is very light compared to the manipulated items, which is a paramount benefit for a mobile collaborative application. This paper presents the mechanical design, the hardware selection and the experimentation in a laboratory scenario, thus demonstrating the effectiveness of the proposed manipulation strategy.


Citations (9)


... Generally, these robots can suffer from performance issues, such as an inability to move in certain directions, and lack the required accuracy and stiffness [127][128][129]. Singularity issues in continuum robots are investigated across various types, including TDCRs [130,131], CTR [132] and parallel continuum robots [127,133]. Since singularity is more of a design and modeling-oriented problem, and the primary focus is on the fabrication aspects of TDCRs, this paper does not cover a detailed discussion on continuum robot singularities. ...

Reference:

Tendon-Driven Continuum Robots for Aerial Manipulation—A Survey of Fabrication Methods
Singularity Conditions of Concentric Tube Robots
  • Citing Chapter
  • November 2023

... This method does not require additional reference equipment but requires measurements from diverse orientations to define a well-shaped ellipsoid. Besides these, the least squares method (Zhang et al.. 2009;Duchi et al. 2023) is also a widely adopted mathematical approach in accelerometer calibration. This technique uses a set of measured accelerations and applies regression analysis to estimate calibration parameters. ...

Total Least Squares In-Field Identification for MEMS-Based Triaxial Accelerometers
  • Citing Chapter
  • November 2023

... Furthermore, they have garnered increasing interest within both scientific and industrial communities [5]. Topics of exploration may include mechanism optimization [6], kinematic and dynamic modeling [7], kinematic calibration [8], as well as control design [9,10,11]. ...

Design and experimental equilibrium stability assessment of a RFRFR continuum parallel robot
  • Citing Article
  • November 2023

Mechatronics

... Indeed, many of the current PCMs under study are modifications on classical rigid kinematic machines. For example, a broad line of research on hexapod-like flexible manipulators has emerged, solving a variety of problems such as workspace evaluation, real-time position control and elastic analysis [7][8][9][10][11][12]. ...

A Boundary Computation Algorithm for the Workspace Evaluation of Continuum Parallel Robots
  • Citing Article
  • May 2023

Journal of Mechanisms and Robotics

... A relevant tribology problem is investigated in [6], namely, a methodology for estimating the coefficient of friction with a semi-empirical formulation is presented so that its results are employed to analyze mechanical efficiency losses in a hypoid gearset. A design of a planar parallel mechanism installed on a fast-operating automatic machine is discussed in [7], where the mechanism design is optimized in order to reduce the observed vibrations. An advanced methodology, such as multi-objective design optimization, is employed in [8] to efficiently and reliably achieve an optimal lightweight gear design. ...

Optimal Design for Vibration Mitigation of a Planar Parallel Mechanism for a Fast Automatic Machine

... This model, which is designed for slender flexible components, must be combined with the dynamic equilibrium of the entire mechanical system under all applied forces, leading to a nonlinear set of differential equations. A solution for this system is provided in [17], another possibility being applying energetic approaches as in [18,19]. ...

Workspace Computation of Planar Continuum Parallel Robots
  • Citing Article
  • January 2022

IEEE Robotics and Automation Letters

... Generally speaking, the automated depalletizing process is composed of a system that includes an autonomous mobile robot, a robotic arm, a lifting mechanism, and a visual sensor, as indicated by the authors in [4,5]. The literature suggests depalletizing systems are designed mainly to extract items from homogeneous pallets. ...

A Mobile Robotized System for Depalletizing Applications: Design and Experimentation

IEEE Access

... More than one robot can be employed in the depalletizing process, as proposed by Mingyang [8], who showed an ABB industrial robot and a KUKA mobile manipulator, expanding the depalletizing area. Additionally, Aleotti [9] ensured the accurate execution of tasks by implementing force measurement and robot admittance control. ...

Toward Future Automatic Warehouses: An Autonomous Depalletizing System Based on Mobile Manipulation and 3D Perception

... Non-articulated planar parallel robot modeling has also been actively studied in P, D, and A joints [23][24][25][26][27][28] and cable-driven planar robots [29][30][31][32]. Furthermore, the applications of these planar parallel robots can range from window-washing applications [29] to orthopedics [23,25] and even neurorehabilitation [33]. ...

An Analytical Formulation for the Geometrico-Static Problem of Continuum Planar Parallel Robots
  • Citing Chapter
  • September 2020