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