The Stability Analysis For A Class Of Switched System

The hybrid system is composed by discrete dynamic systems and continu-ous dynamic systems. It is formed a uniform dynamic systems by effected each other.Switched systems is an important class of hybrid systems.In fact,it is a class of noline system.It consists of some linear subsystems that integrate the logical and continuous dynamics by switching.Because of switching signal,there is a large different between the characteristic of Switched systems and every subsystems meanwhile,in recent years,the Switched systems gains the more extensive application with the rapid development of computer technique,therefore,the study of Switched systems will become a research direction with theory signification and application value.so it becomes the one hot spot issues of control field.This paper deals mainly with theoretical analysis.Based on the theory of Lyapunov Stability.First,for a especial class linear switched systems—periodic switched systems,we analysis their stability from two parts.(1)For continuous linear time-varying periodic switched systems ,we study the stability by using the solve of state equation of switched systems and computer simulation. (2)For discrete linear periodic switched systems,Based on Schur stability ,the minimum switching periodic T are designed to guarantee the switched systems is asymptotically sta-ble.Then,for discrete linear switched systems ,Designed the minimum dwell time ,it could assure that the switched systems is asymptotically stable.Finally,for discrete linear switched systems, if the part of state value can not be measured directly, designing a Reduced-order State Observer,the switching strategy and sub-controller which use the observer value,are designed to guarantee the close-loop system is asymptotically stable.