Exponentially Passive Control For Uncertain Fuzzy Impulsive Systems With Time-varying Delay

In control systems, there exist large amounts of the phenomena, such as nonlinear,time-varying delay, impulsive etc. Because the fuzzy systems can approximate nonlinearsystems with any degree of accuracy, the design of the fuzzy systems controller has becomethe focus of the control theory. This paper mainly studies the exponentially passive controlproblems for uncertain fuzzy impulsive systems with time-varying delay and uncertainfuzzy impulsive systems with neutral time-varying delay. The main content are as follows:(1) Firstly, we respectively introduce the developmental situation and signi?cance ofthe theory of T-S fuzzy systems and passive; then we introduce the in?uence of impulsiveand time-delay phenomena. Finally, the structure arrangement of this paper is given.(2) We research on the exponentially passive control problem for uncertain fuzzyimpulsive systems with time-varying delay. Based on Lyapunov theory and linear matrixinequality(LMI) method, su?cient conditions of exponential passivity for uncertain fuzzyimpulsive systems with time-varying delay are obtained. Then we design the exponentiallypassive state feedback controller, and the feasibility of the theorem is veri?ed through thenumerical example.(3) We study the exponentially passive control problem for uncertain fuzzy impulsivesystems with neutral time-varying delay. Based on Lyapunov theory and linear matrixinequality(LMI) method, su?cient conditions of exponential passivity for uncertain fuzzyimpulsive systems with neutral time-varying delay are obtained. Then we design theexponentially passive state feedback controller, and the feasibility of the theorem is veri?edthrough the numerical example.(4)This paper is summarized.