Non-fragile Robust L₂-Gain Control For A Class Of Switched Singular Systems With Time-delay

Switched singular system is a new research area of control theory in recent years.As an important model of hybrid systems,switched singular systems are more complex and difficult to study than general switched systems because its subsystems are singular system.Therefore,the study of switched singular systems have important theoretical significance.In actual production,there are many time-delay phenomenon and controller parameters can not be accurately measured,so the research of non-fragile controller for switched singular systems with time-delay has practical significance.In thesis,based on linear matrix inequality(LMI)method and mode-dependent average dwell time method,we studied the problems of non-fragile dynamic output feedback L2-gain control for linear and nonlinear switched singular systems with time-delay.The main contents are summarized as follows:1.The first chapter,introduces the research background and status of singular systems and switched systems and switched singular systems,at the same time,research status of the non-fragile and time-delay system has be given.2.The second chapter,introduce some preliminary knowledge,include linear matrix inequalities lemmas and other related lemmas.3.The third chapter,the problem of non-fragile dynamic output feedback robust L2-gain control for uncertain switched singular systems with time-delay is studied.By using the LMI method and mode-dependent average dwell time method,the sufficient condition is obtained to make the switched singular systems exponential stability and satisfies the L2 gain performance.Then the design method of the controller is given.Lastly,a numerical example is given to prove its feasibility.4.The fourth chapter,the problem of non-fragile dynamic output feedback robust L2-gain control for nonlinear switched singular systems with time-delay is studied.By using the LMI method and mode-dependent average dwell time method,the sufficient condition is obtained to make the switched singular systems exponential stability and satisfies the L2 gain performance.Then the design method of the controller is given.Lastly,a numerical example is given to prove its feasibility.5.The fifth chapter,the problem of non-fragile dynamic output feedback robust L2-gain control for uncertain nonlinear switched singular systems with time-delay is studied.By using the LMI method and mode-dependent average dwell time method,the sufficient condition is obtained to make the switched singular systems exponential stability and satisfies the L2 gain performance.Then the design method of the controller is given.6.The sixth chapter,make a summary and prospect of thesis.