A fault estimation and fault–tolerant control based sliding mode observer for LPV descriptor systems with time delay

This paper considers the problem of fault-tolerant control (FTC) and fault reconstruction of actuator faults for linear parameter varying (LPV) descriptor systems with time delay. A polytopic sliding mode observer (PSMO) is synthesized to achieve simultaneous reconstruction of LPV polytopic descript...

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Bibliographic Details
Published inInternational journal of applied mathematics and computer science Vol. 31; no. 2; pp. 247 - 258
Main Authors Hamdi, Habib, Rodrigues, Mickael, Rabaoui, Bouali, Braiek, Naceur Benhadj
Format Journal Article
LanguageEnglish
Published Zielona Góra Sciendo 01.06.2021
De Gruyter Poland
University of Zielona Góra
Subjects
Actuators
Automatic
Automatic Control Engineering
Computer Science
Control systems design
Controllers
Convexity
Engineering Sciences
fault estimation
Fault tolerance
fault-tolerant control
Faults
Linear matrix inequalities
LMIs
LPV descriptor systems
Optimization
Optimization techniques
Reconstruction
Reinjection
Sliding mode control
sliding mode observer
time delay
Time lag
LMIs
time delay
fault-tolerant control
sliding mode observer
LPV descriptor systems
fault estimation
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Summary:This paper considers the problem of fault-tolerant control (FTC) and fault reconstruction of actuator faults for linear parameter varying (LPV) descriptor systems with time delay. A polytopic sliding mode observer (PSMO) is synthesized to achieve simultaneous reconstruction of LPV polytopic descriptor system states and actuator faults. Exploiting the reconstructed actuator faults and state estimates, a fault-tolerant controller is designed to compensate the impact of actuator faults on system performance by stabilizing the closed-loop LPV delayed descriptor system. Besides, the controller and PSMO gains are obtained throughout the resolution of linear matrix inequalities (LMIs) using convex optimization techniques. The developed PSMO could force the output estimation error to converge to zero in a finite time when the actuators faults are bounded through the reinjection of the output estimation error via a nonlinear switching term. Simulation results applied to a given numerical system are presented to highlight the superiority and effectiveness of the proposed approach.
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ISSN:1641-876X
2083-8492
DOI:10.34768/amcs-2021-0017