Analysis And Control Of A Class Of Impulsive And Switched Systems

Impulsive switched system is an important branch of switched system. A great number of real-world systems produce a great deviation, if which modeled as switched system. So based on the switched system, researchers introduce the impulsive switched system model. In recent years, impulsive switched systems have received more and more attentions. This dissertation investigates the problem of analysis and control for a class of impulsive switched systems. The main contributions are as follows.The problems of robust reliable control for uncertain impulsive switched systems with delays are concerned. Base on the impulsive delay differential inequality and minimum dwell time approach, a criterion of exponential stability with L∞performance of impulsive switched nonlinear system with time delay is obtained, and sufficient condition for the existence of a robust Lr reliable controller such that the corresponding closed-loop system is exponential stable with L∞performance is derived.It is considered that in applications there inevitably exists asynchronous switchings between the controller and the system. We first consider the problem of the controller design for impulsive switched system with time-varying delay under asynchronous switching. Then, we investigate the problem of robust control for a class of uncertain impulsive switched systems with time-varying delay under asynchronous switching. Then proposed robust controller guarantees that the system can be asymptotic stability. Finally, sufficient conditions for the existence of the robust reliable controller of impulsive switched system with actuator failures and time-varying delay under asynchronous switching are obtained.Firstly, based on the average dwell time method, finite-time boundedness and H∞performance for impulsive switched systems are addressed, and a sufficient conditions for the existence of a robust finite-time H∞state feedback controller are proposed in terms of a set of matrix inequalities. The gain matrices of the desired controller are obtained by solving a set of LMIs.