Fault-Tolerant Control for Discrete-Time Switched Linear Systems with Time-Varying Delay and Actuator Saturation

Dan Zhang () and Li Yu
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Dan Zhang: Zhejiang University of Technology
Li Yu: Zhejiang University of Technology

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 1, No 10, 157-176

Abstract: Abstract 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.

Keywords: Discrete-time switched systems; Time-varying delay; Fault-tolerant control; Actuator saturation; Average dwell time (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-011-9955-7

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