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Robust Finite-time Guaranteed Cost Control for Impulsive Switched Systems with Time-varying Delay

Guangdeng Zong*, XiaohongWang, and Haijuan Zhao
International Journal of Control, Automation, and Systems, vol. 15, no. 1, pp.113-121, 2017

Abstract : "This paper is concerned with the problem of robust finite-time guaranteed cost control for a class of impulsive switched systems with time-varying delay. Firstly, the definitions of finite-time boundedness, finite-time stabilization, and robust finite-time guaranteed cost control are presented. Next, based on the average dwell-time approach, sufficient conditions on robust finite-time guaranteed cost control are obtained for the uncertain impulsive switched systems. Then, by using multiple Lyapunov-like functional method and linear matrix equality (LMI) technique, the state feedback controller is designed to guarantee that the uncertain impulsive switched system is finite-time stabilized. Furthermore, a finite-time guaranteed cost bound is given. Finally, a numerical example is shown to illustrate the effectiveness of the proposed results."

Keyword : "Average dwell-time approach, finite-time guaranteed cost control, impulsive switched systems, multiple Lyapunov-like functional, time-varying delay."

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