Fault diagnosis based on sliding mode observer for LPV descriptor systems. Issue 1 (8th January 2019)

• Record Type: Journal Article
• Authors: Hamdi, Habib; Rodrigues, Mickael; Mechmeche, Chokri; Benhadj Braiek, Naceur
• Other Names: Karimi Hamid Reza guestEditor.; Wang Yueying guestEditor.; Shi Peng guestEditor.
• Is Part Of: Asian journal of control. Volume 21:Issue 1(2019)
• Page Start: 89
• Page End: 98
• Publication Date: 2019-01-08
• Subjects: fault diagnosis -- LPV descriptor systems -- sliding mode observer; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2022
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper considers the problem of fault detection and reconstruction of actuator faults for linear parameter varying descriptor systems. A polytopic sliding mode observer (PSMO) is constructed to achieve simultaneous reconstruction of LPV polytopic descriptor system states and actuator faults. Sufficient conditions for the existence and design algorithm of the proposed polytopic sliding mode observer are provided. In addition, the design of the PSMO is formulated in terms of linear matrix inequalities that can be suitably solved using convex optimization techniques. This PSMO can 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. The effectiveness of the design technique is illustrated through a simulation of an anaerobic bioreactor.