Non-fragile H_? Control For Uncertain Switched Systems With Time-varying Delays

As an important type of dynamic hybrid systems,switched system has received extensive attention in the field of control.Time-varying time delays and uncertainties are widely present in engineering systems,which leads to system performance degradation.In response to this situation,in recent years,more and more researchers have adopted robust control methods,that is,to find the controller gain K,so that the closed-loop system after adding the controller is stable and meets the given performance indicators.However,because the controller designed by the traditional robust control method will be affected by other factors(such as calculation truncation error,word length limitation,environmental temperature change,component aging,etc.)in the digital realization process,the controller will also be very sensitive to small changes in its own parameters(fragility).In fact,the system may be affected by fragility,resulting in performance degradation or even inoperability,so the designed controller needs to be able to withstand parameter changes within a certain range.This paper discusses the problem of non-fragile H_?control for a class of uncertain switched systems with time-varying delays under constructed switching laws.the paper is as follow:In the first paragraph of the dissertation,the basic concepts of switched systems,time-delay systems,robust H_? control,uncertain systems and the basic concepts of non-fragile are introduced.The definitions and lemmas required in this paper are introduced in the second chapter.In the third chapter,the problem of non-fragile state feedback H_?control for a class of uncertain time-varying switched systems is considered.Combining the convex combination method and the single Lyapunov function method,using the inequality scaling lemma,the matrix inequality satisfying H_?control is given.Furthermore,this chapter uses Schur complement lemma to obtain the linear matrix inequality,that is,satisfies the sufficient condition of H_?control,and uses numerical example simulation to verify the validity of the theorem.The non-fragile H_? control problem of a class of uncertain time-varying switched systems based on the state observer is considered in chapter 4.Using the Lyapunov functional method and the lemma,the linear matrix inequality satisfying H_?control is given.That is,the sufficient conditions of H_?control are satisfied,and the feasibility and validity of the theorem are verified by numerical example simulation.On the basis of chapter 4,the dynamic non-fragile output feedback H_?control problem of time-varying time-delay systems with uncertainty is considered in chapter5.When the obtained linear matrix inequality group is established,the corresponding closed-loop system of the system satisfies the H_?interference suppression level?dynamic output feedback can be switched and stable,and the validity of the theorem is verified by the numerical example LMI simulation.In chapter 6,the filter H_? control problem for the systems is considered.Finally,the linear matrix inequality is obtained and LMI is used for numerical simulation to illustrate the validity and practicability of the theorem.In the end,the research work and conclusions of this paper are summarized,prospects the development of related topics.