Stability Analysis And Robust Control For Switched System

Switched systems is an important class of hybrid systems, which are of great significance in theory and engineering applications. Due to the interaction of continuous dynamics and discrete dynamics, the behavior of such systems become very complicated, a lot of problems deserve investigation. At present, most of the results refer to switched systems focus on stability analysis and control problems.This dissertation studies the stabilization and H_∞ problem of several kinds of switched systems which includes the following contents:The first chapter introduces the research background and status of switched systems.At the same time,preliminaries and the main work of this dissertation is given in this chapter.The second chapter studies the Robust H_∞ control for a class of switched nonlinear systems.Under the condition,that the H_∞ control problem of all subsystems are not all solvable, the feedback control law and the switching law are designed using an average dwell-time method.The third chapter studies stabilization control problem of a kind of uncertain switched systems.we presents the design of the output-dependent dynamic integral sliding surface and the time-depended switching law to guarantee that the closed-loop systems is globally exponentially stable.The fourth chapter is on the basis of the third chapter.Unlike the previous chapter,all the input matrices of the switched subsystems are different.A common state-depended integral sliding surface is constructed such that the switched systems is proved to be asymptotically stable.The last chapter,we make a brief summary on this thesis and give the prospect for further research on switched systems.