Exponential Admissibility And State Feedback H_∞ Control Of Nonlinear Switched Singular Systems With Time-Varying Delay

Switched singular system is a new research field of control theory development in recent years.Because of the complexity of the singular systems and the introduction of the switching rule,the study of switched singular systems is extremely challenging.At present,the research results about switched singular systems is not much,there are still many theoretical and practical problems to be solved.Therefore,it has important theoretical and practical significance for the further researches of switched singular systems.This paper is summarized as follows:In chapter one,firstly,a brief overview of the research background and research status of switched system,singular system and switched singular system is given,at the same time,the research status of the time-delay system is given.In chapter two,the problems of exponential admissibility and state feedback H∞control of switched linear singular systems with time-varying delay is given.First,it presented a sufficient condition for exponential admissibility and had H∞performance of autonomous switched linear singular systems.Then,it designed proper switching law and state feedback controller,and it presented a sufficient condition for exponential admissibility and state feedback H∞ control of switched linear singular systems with time-varying delay.Finally,some illustrative examples are given to show the effectiveness of the piroposed approach.In chapter three,the problems of exponential admissibility and state feedback H∞control of nonlinear switched singular systems with time-varying delay is given.First,it presented a sufficient condition for exponential admissibility and had H∞performance of autonomous nonlinear switched singular systems.Then,it designed proper switching law and state feedback controller,and it presented a sufficient condition for exponential admissibility and state feedback H∞ control of nonlinear switched singular systems with time-varying delay.Finally,some illustrative examples are given to show the effectiveness of the proposed approach.In chapter four,the problems of exponential admissibility and state feedback H∞ control of uncertain time-delay nonlinear switched singular systems is given.First,it presented a sufficient condition for exponential admissibility and had H∞performance of autonomous uncertain time-delay nonlinear switched singular systems.Then,it designed proper switching law and state feedback controller,and it presented a sufficient condition for exponential admissibility and state feedback H∞ control of uncertain time-delay nonlinear switched singular systems.Finally,some illustrative examples are given to show the effectiveness of the proposed approach.In chapter five,the conclusions and problems for future research are given.