Observer-based fault tolerant control design for a class of LPV descriptor systems

Mickael Rodrigues (1) , Hamdi Habib (2) , Naceur Benhadj Braiek (2) , Didier Theilliol (3)

1 LAGEP - Laboratoire d'automatique et de génie des procédés
2 INSAT - Institut National des Sciences Appliquées et de Technologie [Tunis]
3 CRAN - Centre de Recherche en Automatique de Nancy

This paper presents a new Fault Tolerant Control (FTC) methodology for a class of LPV descriptor systems that are represented under a polytopic LPV form. The aim of this FTC strategy is to compensate the effects of time-varying or constant actuator faults by designing an Adaptive Polytopic Observer (APO) which is able to estimate both the states of the system and the magnitude of the actuator faults. Based on the information provided by this APO, a new state feedback control law is derived in order to stabilize the system. Stability conditions of the designed observer and the state-feedback control are provided and solved through a set of Linear Matrix Inequalities (LMI) under equality constraints. The performance of the proposed Fault Tolerant Control scheme is illustrated using a two-phase flash system.

Keywords: Descriptor Systems; Observer; Fault Tolerant Control; Actuator Fault; LPV; Stability; LMI

Domains: Automatic; Automatic Control Engineering

Mickael Rodrigues, Hamdi Habib, Naceur Benhadj Braiek, Didier Theilliol. Observer-based fault tolerant control design for a class of LPV descriptor systems. Journal of The Franklin Institute, 2014, 351 (6), pp.3104-3125. ⟨10.1016/j.jfranklin.2014.02.016⟩. ⟨hal-00959769⟩