Event-triggered Based Dissipative Control For Cascaded Nonlinear Switched Systems

Switched systems,which are a class of special hybrid systems,and have attracted many scholars in recent years.Some results in the stability,controllability(observability),and stabilization of the systems have been obtained.However,due to the complexity of nonlinear switched systems,it is a challenge for some research methods to apply to the research of nonlinear switched systems directly,so the results are few.Event-triggered control,also known as aperiodic control,is a control strategy that implements control tasks after an external event occurs.With the development of network control,event-triggered control has become one of the hot topics for its practicality and effectiveness.Compared with traditional time-triggered control methods,event-triggered control has superiority in reducing the amount of information exchange of the controlled system while reducing time delay and data loss.Dissipativity is an important property of the systems.Dissipativity provides a way to study and design systems from the energy point of view.Sliding mode control is not sensitive to parameter changes,so it is suitable for analyzing systems with unknown states.However,the research on event-triggered dissipative control and sliding mode control of nonlinear switched systems have just started,and the research results are relatively limited.In this paper,the event-triggered dissipative control and sliding mode control problem of cascaded nonlinear switched systems are concerned.The main work is summarized in the following two aspects:(1)The event-triggered dissipative control problem is studied for the cascade nonlinear switched systems.Under the designed event-triggered condition,a piecewise continuous state feedback controller is given and a closed-loop system is obtained.The switched Lyapunov function method and the average dwell time technique are used and sufficient conditions are derived to ensure the strictly(Q,S,R)--dissipativity and the exponential stability of the considered switched nonlinear system,Finally,this method is extended to the study of H performance and passivity for the cascaded nonlinear switched systems.(2)For the unavailable state variables of the cascade nonlinear switched systems,the event-triggered sliding mode control problem is studied.First,a state-based observer is designed to predict the unknown states,based on which,a sliding mode surface function and an equivalent control are designed,then a closed-loop system with sliding mode dynamics is obtained.Then the dissipativity of the system is studied.Finally,a sliding mode control law is given,which forces the trajectories of the system onto the pre-specified sliding manifold within a limited time.Finally,this paper is summarized and the plan of the next work is proposed.