Controller Design Of Switched Systems

Many Systems in our life in practice involve a coupling between continuous dynamics and discrete event. Any systems where these two classes of dynamics coexist and interact are called hybrid systems. Switched systems are an important and special class of hybrid systems. These kinds of systems are usually consisted of continuous time subsystems (or discrete time subsystems) and a specific switching rule which orchestrates the switching patterns between their subsystems. Since switched systems have a wide rang of representative in real plants including Intelligence Robot Transportation Systerms、Power Systems and so on, doing some research on its dynamic behaviors and control problems has an important meaning. In this paper, our work mainly focus on controller design of switched linear systems, fuzzy modeling of switched nonlinear systems and its corresponding controller design.Our research mainly foucs on four kinds of systems:(1) Exponential stability and asynchronous stabilization of swithed linear systems;(2) Exponential stability and asynchronous stabilization of switched nonlinear system via T-S fuzzy model;(3) Exponential stabile analysis and H∞controller design of discrete-time switched fuzzy systems with time-varying delays;(4) Exponential stabile analysis and H∞controller design of continuous-time switched fuzzy systems with time-varying delays.1. For continuous-time switched linear system under minimum dwell time and based on Piecewise Lyapunov theory, we have analyzed exponential stability and asynchronous stabilization problems respectively.2. Based on Lyapunov theory and T-S fuzzy model, we get a class of switched fuzzy systems. Based on the same Piecewise Lyapunov theory, we have analyze exponential stability and asynchronous stabilization problems respectively.3. For switched nonlinear systems (both discrete-time and continuous-time) with time-varying delays. Based on T-S fuzzy model, we get switched fuzzy systems with time-varying delays. And Based on average dwell time method and the piecewise fuzzy Lyapunov-Krasovskii functional, we got the exponential stability and H∞controller design results of these kinds of switched fuzzy systems. All the condition results are given in the form of LMIs.