Adaptive Fuzzy Control Of Switched Nonlinear Systems Under Event-Triggered Mechanism

Switched systems are common hybrid systems,which consist of a series of continuous or discrete subsystems and a rule that coordinates the switching action among subsystems.Due to the multi-mode characteristic of switched systems,many practical systems can be modeled as switched systems.In addition,a suitable switching rule can not only achieve the stability of the controlled system but also obtain the desired performances,which further promotes the practical applications of switched systems.Such as near earth space vehicle control systems,electromechanical systems,chemical processes,etc.It is worth noting that many industrial processes often take communication efficiency as an important index.The advantage of event-triggered control lies in that it can still maintain a high communication efficiency in an environment where the communication resources are limited.Therefore,based on the event-triggered mechanism and the fuzzy adaptive control method,this paper conducts the following researches on switched nonlinear systems:(1)For a class of Multi-input and Multi-output switched nonlinear systems,an event-triggered adaptive fuzzy output feedback control scheme is proposed based on the Lyapunov stability theory and the Backstepping design method.During the design procedure,the actual controller for each subsystem and the corresponding triggering mechanism are designed at the same time,which eliminates the input-to-state stability assumption required in most of literature.It is shown that the proposed control scheme can guarantee the boundedness of all the signals in the closed-loop system under a class of switching signals with average dwell time,and the tracking errors can converge to a small neighbourhood near the origin.(2)For a class of uncertain switched nonlinear systems,the finite-time adaptive fuzzy tracking control problem is investigated under the event-triggered mechanism by combining the common Lyapunov function approach and the Backstepping design method.During the design procedure,the effects on the controller design resulted from the system uncertainties is eliminated by utilizing the universally approximation capability of fuzzy logic systems.The constructed controller guarantees the boundedness of all the signals in the closed-loop systems in the sense of semi-globally practical finite-time stability.Furthermore,the utility of the constructed control scheme is testified via a practical example accompanied by the mass-spring-damper system.