Robust reliable control of switched uncertain systems with time-varying delay

Abstract

Abstract This paper is concerned with reliable control problems for the switched uncertain systems with time varying delay. A method for designing robust reliable controller is presented by means of the multiple Lyapunov functions technique so that the energy-like functional does not have to decrease along the switching instants. The proposed controller is reliable in that it can guarantee the closed loop asymptotic stablility of switched delay systems in the case of the possible presence of failures of partial actuators. Delay independent results of the reliable controller design are presented in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example is given to illustrate the applicability of the proposed results. Keywords: Switched systemsTime delayParameter uncertaintyRobust reliable control Acknowledgement This work is supported by National Natural Science Fund of China (60474034 and 60174019). The authors would like to thank the anonymous reviewers for their constructive suggestions.