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Fault-tolerant control for discrete-time switched linear systems with time-varying delay and actuator saturation. (English) Zbl 1237.93050

Summary: In this paper, the fault-tolerant control for a class of discrete-time switched systems with time-varying delay and actuator saturation is investigated. By using a newly constructed Lyapunov functional and the average dwell time scheme, a design procedure is developed for the mode-dependent state feedback controller which ensures the exponential stability of the closed-loop systems. Moreover, an optimization problem with Linear Matrix Inequality (LMI) constraints is formulated to estimate the domain of attraction of the origin for the underlying systems. A numerical example is finally given to illustrate the effectiveness of the proposed method.

MSC:

93B35 Sensitivity (robustness)
93C55 Discrete-time control/observation systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C05 Linear systems in control theory
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