Event-triggered guaranteed cost control for uncertain switched linear systems

This paper studies the guaranteed cost state-feedback control for uncertain switched linear systems with an event-triggering strategy. With the proposed event-triggering strategy, the system state can be sampled and updated only when a defined error exceeds a given threshold, which is very different from the traditional periodic sampling. More specifically, first, sufficient conditions for the stability and guaranteed cost performance of the resulting event-triggered switched closed-loop system are derived by utilizing the average dwell time method and linear matrix inequalities (LMIs) technique. A certain upper bound of the guaranteed cost against the system uncertainties is obtained. Subsequently, another set of sufficient conditions are presented for solving the event-triggered guaranteed cost state-feedback controllers. Furthermore, the Zeno behavior is discussed by presenting a positive lower bound estimation on the inter-execution intervals. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed approach.