Robust H-infinity Control For Impulsive And Switched Singular Systems

Switched system is an important model of hybrid system from the perspective of system and control science and an international frontier in the research of hybrid systems.Switched system model is widely used in many practical fields and has a wide range of engineering background such as intelligent traffic control system,chemical process control system,electric power system,automobile engine control system,robot control system,etc.The real system in many areas,due to a moment in the dynamic process of produce abrupt changes tend to lead to impulsive behavior,simple continuous or discrete can not accurately describe the system,but it can be used to describe the switching system with impulsive effect.In this case,the research on the pulse switching system has a certain practical significance.The robust H-infinity dynamic output feedback control problem for impulsive switched singular systems with disturbances is studied in this paper.A sufficient condition for robust control of impulsive switched singular systems is given by using multiple Lyapunov functions and linear matrix inequalities singular systems and impulsive systems.The main contributions are:In chapter 1,The background of this thesis is introduced.Firstly,outlines the development of the singular system and singular switched system,and also the research projects in the current situation.Then research situation and actual background of robust H-infinity control for singular switched system are given.Finally,the main work is summarized.In chapter 2,This article describes the foundations of mathematics involved and the relevant prior knowledge.Theorems of stability and singular systems are primitively introduced.Meanwhile,some knowledge on matrix inequalities common used in the thesis is summarized.In chapter 3,The problem of robust H-infinity control of state feedback and dynamic output feedback for switched singular systems is studied.A sufficient condition for the problem of robust H-infinity control of state feedback and dynamic output feedback for switched singular systems is given by using matrix inequality approach.In chapter 4,The problem of robust H-infinity control of state feedback and dynamic output feedback for impulsive switched singular systems is studied.The multiple Lyapunov functions is extended to switched singulai systems and the design of state feedback and dynamic output feedback controller is given by using matrix inequality approach.In Chapter 5 Summary and Outlook.A summary of this thesis is given.At the same time,we give an expectation for the future work.