Switch The Sampling Control Of The System

Switched systems,as a kind of important hybrid systems,are widely used in the fields of electronics industry,the model of congestion control,network control and aircraft control system and other fields.Switching theory in switched systems is unified with modern advanced intelligent control.Therefore the study about switched systems has an important significance.If stability in a system cannot be guaranteed,the system will not work properly,not to mention other specific performance index.The problem of exponential stability analysis and synthesis about switched system is worth of our study and in recent years attains the vast number of attention of the researchers.With the popularity of computer and network,the sampling control has become a widely used control method in practical control systems.Application of sampling control can effectively improve the accuracy and anti-interference ability of the system control,and can also greatly enhance the efficiency and generality of the controller.Because of the advantages of sampling control,the study of the switched systems based on sampled-data control also has real value.This paper is aimed at studying sampled-data control problem of switched system and some new research results are mainly summarized as the following two parts:1)Sampled-data control problem of linear switched systems.Sampled-data control problem of linear switched systems is analyzed.First of all,a suitable multiple Lyapunov function is constructed and Wirtinger inequality is cleverly used on the derivative results of Lyapunov function.Appropriate identical equations are also introducted on the basis of Newton-Leibniz formula.So a sufficient condition of exponential stability of systems based on the sampled-data control has been obtained on the basis of the average dwell time method.A sampling state feedback controller is then designed by solving LMI.Finally,the simulation result of an example is used to confirm the correctness of the conclusions.2)Sampled-data control problem of uncertain switched systems with time-varying delay.The robust exponential stability problem of the uncertain switched systems with time-varying delay based on sampled-data control is mainly studied by using the average dwell time method.On the one hand,an important theorem of robust exponential stability of switched systems in the sampling control is given,on the other hand,the suitable values of gain matrixes of state feedback controller are given by solving linear matrix inequality.In the derivation process of this section,multiple lyapunov function method is mainly used.In order to deal with delay integral items,Wirtinger inequality is ingeniously used and appropriate identical equations on the basis of Newton-Leibniz formula are introduced.At last,the simulation examples arelisted to prove the correctness of the results.