Relazed Stability and Stabilization Conditions for a Class of Switched Fuzzy Discrete Systems
This paper introduces a innovated representation model, namely, a discrete-time switched fuzzy (DTSF) system, which differs from existing ones. In this model, a system is a switched system whose subsystems are all discrete-time Takagi-Sugeno (T-S) fuzzy systems. This class of systems can often more precisely describe continuous dynamics and discrete dynamics as well as their interactions in complex real-world systems, and then the systems can be designed switching law intelligently, which is to choose the subsystem whose behavior is the best according to some performance criterion. Then in this paper, the state feedback controllers for the proposed DTSF systems are built to ensure that the relevant closed-loop system is quadratically stable using switching technique and the multiple Lyapunov functions method. Finally, switching laws of the state-dependent form achieving system quadratic stability of the switched fuzzy system are given. The main conditions are given in form of linear matrix inequalities (LMIs), which are easily solvable. The elaborated illustrative examples and the respective simulation experiments demonstrate the effectiveness of the proposed method.
Switched Systems Fuzzy Systems Quadratically Stable Global Model Switching Law
Hong Yang Xiaodong Liu Le Zhang
Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 1100 School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116023, Ch Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang 1100
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
1027-1032
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）