Event‐triggered fault detection and isolation for discrete‐time linear systems. Issue 5 (1st March 2016)

• Record Type: Journal Article
• Authors: Hajshirmohamadi, Shahram; Davoodi, Mohammadreza; Meskin, Nader; Sheikholeslam, Farid
• Is Part Of: IET control theory & applications. Volume 10:Issue 5(2016)
• Page Start: 526
• Page End: 533
• Publication Date: 2016-03-01
• Subjects: discrete time systems -- linear systems -- fault diagnosis -- observers -- H∞ control -- linear matrix inequalities -- Lyapunov matrix equations -- remotely operated vehicles -- control system synthesis; discrete‐time linear time‐invariant systems -- event‐triggered fault detection and isolation -- FDI observer -- Leunberger observer -- residual generator -- multiobjective formulation -- l1 performance indices -- H_ performance indices -- H∞ performance indices -- linear matrix inequalities -- LMI -- Lyapunov matrices -- system state space matrices -- event‐triggered data transmission mechanism -- remotely operated vehicle; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2015.0762
• Languages: English
• ISSNs: 1751-8644

Abstract

Abstract : In this study, the problem of event‐triggered fault detection and isolation (FDI) for discrete‐time linear time‐invariant systems is considered. Using a Leunberger observer as the residual generator, a multi‐objective formulation of the FDI problem is presented based on l 1, H _ and H ∞ performance indices. For each performance index, sufficient conditions for the design of FDI observer are presented based on linear matrix inequalities (LMIs). To reduce the conservativeness of the multi‐objective problem, extended LMIs are used to eliminate the couplings of Lyapunov matrices with the system state space matrices. It is shown that through an event‐triggered data transmission mechanism, the amount of data that is sent to the FDI module is significantly decreased. Simulation results corresponding to a remotely operated vehicle demonstrate the effectiveness and capabilities of the proposed design methodology.