Exponentially Dissipative Control For Asynchronous Singular Impulsive Switched Systems

Asynchronous singular impulsive switched systems are an important kind of hybrid systems.In practical engineering,some phenomena can not be described by simple switched systems.Therefore,it is necessary to study asynchronous singular impulsive switched systems.When subsystems are switching,switched systems will produce asynchronous and impulsive behavior.At switching time,controller switching usually delays by subsystem switching.This asynchronous behavior is widespread,so asynchronous singular impulse switched systems has research value.This paper mainly studies the exponentially passive and exponentially dissipative control of asynchronous singular impulsive switched systems.Firstly,we introduce the significance and development status of asynchronous singular impulsive switched systems and exponential dissipation theory.Secondly,we study the exponential passivity of asynchronous singular impulsive switched systems.The sufficient conditions for exponential passivity of systems are obtained by using the method of average dwell time.By selecting appropriate storage functions,we design an exponentially passive state feedback controller and an observer-based exponentially passive state feedback controller.Thirdly,we study the exponential dissipation of asynchronous singular impulsive switched systems.The sufficient conditions for exponential dissipation of systems are obtained by using the method of average dwell time.Using the method of matrix inequality,we design the exponentially dissipative state feedback controller and the observer-based exponentially dissipative state feedback controller.Finally,the main content of this paper is summarized.