A model reference tracking based on an active fault tolerant control for LPV systems

Rabaoui, Bouali; Rodrigues, Mickaël; Hamdi, Habib; Braïek, Naceur Benhadj

doi:10.1002/acs.2871

Cited by 29 publications

(21 citation statements)

References 21 publications

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“…In [34] a distributed parallel compensation control is explored through TS techniques. In [35], a fault-tolerant LPV control was proposed. Authors in [36] proposed a reconfiguration scheme for active fault tolerance by considering predictive control.…”

Section: Introductionmentioning

confidence: 99%

Robust qLPV Tracking Fault-Tolerant Control of a 3 DOF Mechanical Crane

López‐Estrada

Santos-Estudillo

Valencia‐Palomo

et al. 2020

MCA

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The main aim of this paper is to propose a robust fault-tolerant control for a three degree of freedom (DOF) mechanical crane by using a convex quasi-Linear Parameter Varying (qLPV) approach for modeling the crane and a passive fault-tolerant scheme. The control objective is to minimize the load oscillations while the desired path is tracked. The convex qLPV model is obtained by considering the nonlinear sector approach, which can represent exactly the nonlinear system under the bounded nonlinear terms. To improve the system safety, tolerance to partial actuator faults is considered. Performance requirements of the tracking control system are specified in an H∞ criteria that guarantees robustness against measurement noise, and partial faults. As a result, a set of Linear Matrix Inequalities is derived to compute the controller gains. Numerical experiments on a realistic 3 DOF crane model confirm the applicability of the control scheme.

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Section: Introductionmentioning

confidence: 99%

Robust qLPV Tracking Fault-Tolerant Control of a 3 DOF Mechanical Crane

López‐Estrada

Santos-Estudillo

Valencia‐Palomo

et al. 2020

MCA

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“…Regarding a FTC for a 3‐DOF helicopter, the stabilization problem considering actuator faults is addressed in [7], by means of the H ∞ methodology. An AFTC for linear parameter varying (LPV) systems expressed as polytopic and descriptor LPV systems has been presented in [8,9], respectively. These approaches include sensors and actuator faults achieving faulty system stability through a control reconfiguration or system reconfiguration.…”

Section: Introductionmentioning

confidence: 99%

Active fault tolerant control based on eigenstructure assignment applied to a 3‐DOF helicopter

Mendoza

Vázquez

Rumbo‐Morales

et al. 2020

Asian Journal of Control

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In this paper an active fault tolerant control (AFTC) has been designed and applied to a 3‐DOF helicopter mathematical model. The main contribution corresponds to an AFTC design based on eigenstructure assignment aiming at reconfiguring the controller gain after actuator fault occurrences, modelled as additive faults. The reconfigured controller gain is computed ensuring the best approximation acquired for the nominal fault‐free closed‐loop system on its eigenstructure, giving rise to a faulty closed‐loop system with the same closed‐loop eigenvalues. Simulation results on the on‐line controller gain reconfiguration are shown considering simultaneous time‐varying faults and those with negative and positive slopes.

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“…Meanwhile, the design problem of the model reference tracking control about the spatially interconnected discrete-time systems with interconnected chains is concerned based on LMIs in [16]. Besides, Rabaoui et al deal with the problem of model reference tracking under the design of active fault-tolerant control for linear parameter-varying systems with actuator faults and unknown inputs [17].…”

Section: Introductionmentioning

confidence: 99%

Model Reference Control for Linear Time-Varying Systems: A Direct Parametric Approach

2020

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This paper investigates model reference control for linear time-varying (LTV) systems. It is shown that the problem can be decomposed into two sub-problems: a state feedback stabilization problem of LTV systems and a feed-forward compensation problem. Firstly, the sufficient condition for the existence of the model reference control is deduced. The condition concerns two coefficient matrices such that two matrix equations are met simultaneously, and the state feedback gain matrix stabilizes LTV systems according to the unified spectral theory. Secondly, generally complete parametrization of the model reference tracking controller including a state feedback controller and a feed-forward compensator is proposed based on the solution to a type of generalized Sylvester matrix equations. Furthermore, a general procedure for solving the model reference control problem is also provided. Finally, a numerical example shows the feasibility and effectiveness of the parametric design approach to the model reference control in LTV systems. INDEX TERMS Linear time-varying systems, model reference control, parametric approach, PD-eigenstructure, Sylvester equations.

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A model reference tracking based on an active fault tolerant control for LPV systems

Cited by 29 publications

References 21 publications

Robust qLPV Tracking Fault-Tolerant Control of a 3 DOF Mechanical Crane

Robust qLPV Tracking Fault-Tolerant Control of a 3 DOF Mechanical Crane

Active fault tolerant control based on eigenstructure assignment applied to a 3‐DOF helicopter

Model Reference Control for Linear Time-Varying Systems: A Direct Parametric Approach

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