Finite-time H_? Control For A Class Of Switched Nonlinear Singular Systems

Switched systems,as an important class of hybrid systems,have the important the-oretical significance and practical background.For a special type of switched systems,we not only need to consider the dynamic behavior of switching signals,but also the regular-ity,impulse effects,state transitions,and consistent initial state of their own structures.Therefore,there are relatively few research results on nonlinear singular switching sys-tems.This paper focuses on the finite-time H? control problem for a class of singular nonlinear switched systems.The main contributions are as follows.Chapter 2 concerns the finite-time H? control problem for a class of nonlinear sin-gular switched systems by using the average dwell-time method.Firstly,assuming that each subsystem is regular,the existence and uniqueness of the solution of the switching system are ensured.Then the state feedback controller and the Lyapunov function of the switching system are constructed,and the switching signal is designed by using the average dwell time method.The sufficient conditions to make the finite-time H? control problem of this type of switched systems solvable are obtained.Finally,the feasibility of the design method in this chapter is verified by simulation examples.Chapter 3 concerns the finite-time H? control problem for a class of nonlinear singu-lar switched systems by using the mode-dependent average dwell-time method.Firstly,based on the second chapter,the state feedback controller and Lyapunov function of the switching system are constructed,and the switching signal is designed by using the mode-dependent average dwell time.The sufficient conditions to make the finite-time H?control problem of this type of switched systems solvable are obtained.Finally,simula-tion examples are given to verify the feasibility of the design method in this chapter,and show the superiority of the mode-dependent average dwell time method over the average dwell-time method.Chapter 4 concerns the finite-time H? control problem for a class of nonlinear sin-gular time-delay switched systems by using the average dwell-time method.In the second chapter,there is no time-delay in the systems,but in this chapter,the state feedback controller and Lyapunov function of the switched systems with time-delay are construct-ed,and the switching signal is designed by using the average dwell-time.The sufficient conditions to make the finite-time H? control problem of this type of switched systems solvable are obtainedThe conclusions end the dissertation.