Abstract:
We investigate the output regulation problem for a class of switched linear systems. Here an event-triggered state feedback controller is designed to carry out the control task. Compared with the time-triggered mechanism, the event-triggered mechanism effectively reduces the execution times of a control task. Designing the controller for switched systems is difficult because of the mixture of event-triggered times and switching times. In this study, by providing a co-design scheme of an event-triggered mechanism, state feedback controllers, and switching signal that satisfies the average dwell time condition, sufficient conditions that make the output regulation problem solvable are realized. The different coordinate transformations break the restrictions of the common solutions of the regulator equations of all subsystems. Moreover, a positive lower bound on the inter-event interval is given to avoid Zeno behavior. Finally, the simulation of a switching RLC circuit system is applied to verify the validity of the results.