Observer-based event-triggered H∞ control for switched linear systems

This paper investigates the observer-based event-triggered H∞ control for a switched linear system subjected to exogenous disturbance. With the presented event-triggering scheme, the system only samples and updates the related information when a state-dependent event happens. Specifically, since the system state may not be fully measured in practice, an observer is first utilized to reconstruct the system state for the considered state feedback controllers and the designed event-triggering scheme. Then, by utilizing the multiple Lyapunov functions method, a set of sufficient conditions for guaranteeing H∞ performance of the observer-based event-triggered switched system are presented. In addition, a co-design of observer gains and controller gains is provided. Moreover, a proof on the interevents is given to show that the Zeno behavior can be avoided. Finally, numerical simulations are provided to illustrate the validity.