Robust Control For Interval Switched Systems

Time delay and uncertainty are very common phenomena in engineering systems.But with the development of information and technology, only analysis of systemscannot meet our requirements. Therefore, we hope systems can get some expectantperformance by means of robust controllers. Considerable attention has been paid tothe robust control for interval switched systems for several years due to the aboverequirements.This dissertation studies the stability for two classes of continuous time intervalswitched systems and a class of discrete time switched systems. On the basis ofLyapunov stability theory and linear matrix inequality technology, we also doresearch into the synthesis of systems meanwhile.First of all, the first chapter is a brief introduction of current research results onswitched systems, interval systems and interval switched systems, as well as theoutline of this dissertation. In the second one, some of the basic concepts, theory andlemmas are introduced. In the third one, we do research into a state observer for aclass of continuous time interval switched systems. On the basis of approaches ofCommon Lyapunov function and Multiple Lyapunov function, we design a stateobserver and relative switching strategy. Sufficient conditions of asymptotic stabilityfor error systems are given in the form of linear matrix inequality. In the fourth one,we do research into a state feedback controller for a class of continuous time intervalswitched systems with time delay. In the fifth one, we do research into robustcontrollers for a class of discrete time switched systems. On the basis of the approachof Common Lyapunov function, we design relative robust controllers in the last twochapters. Sufficient conditions of asymptotic stability for closed-loop systems are alsogiven in the form of linear matrix inequality. Furthermore, simulations concerning theresults are presented at the end of each chapter.