Uncertain Continuous Time-delay System Robust Control Study

We usually encounter uncertainties of the system models for the practical industrial process control problems.And the uncertainties usually can be restricted in some range.At this time,we can use robust control theories to deal with the control problems.On the other hand,time delays are commom in a number of industrial processes,which can seriously affect the stability and the performance of the systems.So,the research on the time delay systems is one of the hotpots for the control theory.Considering the above situation,in this paper we mainly study the problems of H_∞state-feedback control for continous delay systems with uncertainty,H_∞output-feedback control and guaranteed cost control for the singular time delay systems.There are five chapters in this paper:In chapter 1,robust control for time delay systems with uncertainty is introduced,including the problems of H_∞control and guaranteed cost for uncertain delay systems.Finally the main work of this paper are introduced.Chapter 2 introduces the knowledge of preparation,basic knowledge of maths and the main content of this paper.In chapter 3,for a class of uncertain delay systems with state delays,state-feedback robust control problem is considered.At the same time,the sufficient condition of the delay dependent robust stabilition and the design method of the state-feedback robust controller are presented.In chapter 4,for a class of uncertain time-delay systems with stste delays,output-feedback robust control problem is considered.Then the output-feedback robust controller and its LMI conditions are investigated.The design method of the controller and all the results are given by the LMI.The numerical example can solved by interior piont method.In chapter 5,for a class of singular time delay systems with norm-bounded parameter uncertainites,a delay dependent condition of the state feedback guaranteed cost controller is proposed.Firstly,the stabilition of the nominal system is analysed.And using LMI method,the sufficient condition of time delay dependent is given.On this basis,the existing condition and the design method of the stste-feedback guaranteed cost controller for the uncertain singular time delay systems.