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Fault‐tolerant saturated control for switching discrete‐time systems with delays
Author(s) -
Benzaouia Abdellah,
Ouladsine Mustapha,
Ananou Bouchra
Publication year - 2015
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2532
Subject(s) - control theory (sociology) , control reconfiguration , residual , discrete time and continuous time , lyapunov function , observer (physics) , fault tolerance , computer science , fault (geology) , exponential stability , saturation (graph theory) , mathematics , control (management) , algorithm , distributed computing , nonlinear system , statistics , physics , quantum mechanics , artificial intelligence , combinatorics , seismology , embedded system , geology
Summary In this paper, fault‐tolerant control problem for discrete‐time switching systems with delay and saturated input is studied. Sufficient conditions of building an observer are obtained by using multiple Lyapunov function. These conditions are worked out using cone complementarity technique, to obtain LMIs with slack variables and multiple weighted residual matrices. The obtained results are applied on a numerical example showing fault detection, localization of fault, and reconfiguration of the control to maintain asymptotic stability even in the presence of a permanent sensor fault and saturation on the control. Copyright © 2014 John Wiley & Sons, Ltd.