Fault tolerant saturated control for T–S fuzzy discrete-time systems with delays. (November 2015)

• Record Type: Journal Article
• Authors: Benzaouia, Abdellah; El Hajjaji, Ahmed; Hmamed, Abdelaziz; Oubah, Rkia
• Is Part Of: Nonlinear analysis. Volume 18(2015)
• Page Start: 60
• Page End: 71
• Publication Date: 2015-11
• Subjects: T–S fuzzy systems -- Delay -- Fault tolerant control -- Observer -- Multiple Lyapunov function -- Control saturation; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2015.06.003
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, fault tolerant saturated control (FTSC) problem for discrete-time T–S fuzzy systems with delay is studied. Sufficient conditions for observer based control design with saturation constraints are developed. Based on a multiple Lyapunov functions and the slack variables, design conditions are formulated in LMI terms using the cone complementarity technique. The obtained results are illustrated on a numerical example showing fault detection, its localization and reconfiguration of the control law to maintain asymptotic stability even in the presence of both permanent sensor faults and saturation on the control. Highlights: Fault tolerant saturated control is considered. An observer technique is used. The estimated state is used in feedback control. The obtained LMIs are obtained upon cone complementarity technique. The Infinity tool is also used to obtain these conditions.