Robust Exponential Stability of a Class of Uncertain Switched Fuzzy Systems
This paper focuses on the problem of the exponential stability for a class of uncertain switched fuzzy (SF) delay systems. A switching control strategy is presented for a class of uncertain SF delay systems. A switched fuzzy delay system, which differs from existing ones, can often describe more precisely the fuzzy, continuous dynamics and discrete dynamics as well as their coupling and interactions in complex engineering systems. Firstly, a class of uncertain switched fuzzy delay systems is given, and in this class model the switched parallel distributed compensation controller is introduced. Next, using the scheme of average dwell time, the multiple Lyapunov function method is adopted to establish the stability results for this class of SF systems. Moreover, sufficient conditions for exponential stability are presented and stabilizing switching law is designed. A bound on the average dwell time guaranteeing exponentially stability of SF delay systems can be explicitly calculated via the solutions of some linear matrix inequalities (LMIs). Finally, two simulations of various comparisons for the elaborated examples demonstrate the feasibility and the effectiveness of the proposed method.
Switched Systems Fuzzy Systems Average Dwell Time Exponentially Stability
Hong Yang Le Zhang
Electronic and Information Engineering Department, Dalian University of Technology, Dalian, Liaoning Electronic and Information Engineering Department, Dalian University of Technology, Dalian, Liaoning
国际会议
2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)
四川绵阳
英文
2265-2270
2011-05-23(万方平台首次上网日期,不代表论文的发表时间)