A FAULT ESTIMATION AND FAULT–TOLERANT CONTROL BASED SLIDING MODE OBSERVER FOR LPV DESCRIPTOR SYSTEMS WITH TIME DELAY
Résumé
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.