ABSTRACT
This chapter is concerned with the event-triggered control problem for switched systems. In order to reduce the communication burden, the event-triggered strategy is adopted in the controller design of switched systems. We firstly consider a kind of switched delayed differential systems with exogenous disturbances. The notions of boundedness and input-to-state practical stability are employed to characterize the control objectives with exogenous disturbances, switching signals and event-triggered schemes. Some upper bounds on the system states are obtained, and the Zeno phenomenon is shown to be excluded. The gain of the feedback controller, the parameters of the event-triggered function and the switching signals are jointly designed for the underlying systems. Moreover, we also consider the event-triggered control problem for the synchronization of switched stochastic complex networks. The notion of bounded synchronization in probability here is introduced to characterize the performance of the controlled dynamical networks with exogenous disturbances, switching rules and event-triggered schemes. Upper bounds of the states of the switched complex networks are first provided, and then the controller gain, the event-triggered parameters and the average dwell time are co-designed for switched subsystems. At last, some numerical examples are given to illustrate the effectiveness of our results.
