On interval observer design for active Fault Tolerant Control of Linear Parameter-Varying systems

• Published in: Systems & control letters Vol. 164; p. 105218
• Main Authors: Lamouchi, Rihab, Raissi, Tarek, Amairi, Messaoud, Aoun, Mohamed
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.06.2022; Elsevier
• Subjects: [formula omitted] norm; Active fault tolerant control; Actuator faults estimation; Automatic; Discrete-time LPV systems; Engineering Sciences; Interval observers; Active fault tolerant control; Discrete-time LPV systems; Actuator faults estimation; L∞ norm; Interval observers
• ISSN: 0167-6911; 1872-7956
• DOI: 10.1016/j.sysconle.2022.105218

This paper proposes an active Fault Tolerant Control (FTC) scheme for polytopic uncertain Linear Parameter-Varying (LPV) systems subject to uncertainties and actuator faults. First, a fault estimation interval observer is designed to estimate the system state and the actuator fault. A novel approach is developed using the L∞ norm to attenuate the effects of the uncertainties and to improve the accuracy of the proposed observer. Then, based on the fault estimation information, the FTC strategy is designed using a linear state feedback control law and H∞ technique to compensate actuator faults and maintain system performance and stability, even under faulty conditions. Finally, the effectiveness of the proposed method is demonstrated by its application to a vehicle lateral dynamic nonlinear model. •Fault Tolerant Control using interval state estimation and robust stabilization.•Set-membership framework for the design of Linear Parameter Varying systems.•Fault estimation observer design for descriptor system.•L∞ norm-based design method to attenuate the effect of fault and uncertainties and to improve the estimation performance.