Event-triggered Control Of Nonlinear Switched Systems

Switched system is a type of hybrid system,"hybrid" refers to the combination of dynamic continuous and dynamic discrete.Due to the rapid development of the control field,the research on switched system is becoming more and more abundant.In recent years,the control technology on linear switching systems has been widely used,but the research on nonlinear switched system is still relatively small.This is because the complexity of non-linear switched system makes the research a certain challenge.However,the research on event-triggered control of nonlinear switched systems has just begun,and the research results are relatively limited.This paper studies the event-triggered control problem of nonlinear switched system and the event-triggered control problem of nonlinear switched system under asynchronous switching.The main research work is summarized as follows:(?)The problem of event-triggered control for nonlinear cascade switched system is studied.Firstly,the state feedback controller of the subsystem is given to obtain the closed-loop system,and then the Lyapunov function is constructed.Based on the appropriate switching signal,the sufficient residence conditions for the closed-loop system to be globally uniformly bounded are obtained by using the average dwell time method.Finally,in order to avoid Zeno behavior in the event-triggered sampling process,the lower limit of the minimum interval between events is obtained.(?)The problem of event-triggered control based on asynchronous switching is studied for nonlinear cascade switched systems.The switched system has asynchronous switching because the switching of the controller sometimes lags behind the switching of the subsystem.First,the subsystem state feedback controller is given to obtain a closed-loop system.Then,for the two cases of subsystem switching and non-switching,corresponding Lyapunov functions are constructed.Sufficient conditions for the globally consistent exponential stability of the closed-loop system to determine the stability of the switched system.Finally,the full text is summarized,the deficiencies in the research are pointed out,and future work prospects are proposed.