<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</abstract>

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.

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

Laboratory of Advanced Systems Polytechnic School of Tunisia

Automation and Process Engineering Laboratory

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper considers the problem of fault-tolerant control (FTC) and fault reconstruction of actuator faults for linear parameter varying (LPV) descriptor...

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

Published Online: Jul 08, 2021

Page range: 247 - 258

Received: Aug 18, 2020

Accepted: Jan 28, 2021

DOI: https://doi.org/10.34768/amcs-2021-0017

Keywords
fault estimation, fault-tolerant control, LPV descriptor systems, sliding mode observer, time delay, LMIs

© 2021 Habib Hamdi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jul 08, 2021

Page range: 247 - 258

Received: Aug 18, 2020

Accepted: Jan 28, 2021

DOI: https://doi.org/10.34768/amcs-2021-0017

Keywordsfault estimation, fault-tolerant control, LPV descriptor systems, sliding mode observer, time delay, LMIs

© 2021 Habib Hamdi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
fault estimation, fault-tolerant control, LPV descriptor systems, sliding mode observer, time delay, LMIs