Event-triggered control with waiting time based on state observer for switched linear systems

This paper concentrates on the state observer–based event-triggered control problem for a class of switched linear systems with external disturbance and transmission delay. It is assumed that the controller can only access the transmitted information of the state observer at each delayed event-triggered instant with a waiting time. First, by adopting the multiple Lyapunov–Krasovskii functional method, some sufficient conditions are derived for the establishment of the state observer, the input-to-state stability (ISS) and the globally uniformly exponential stability (GUES) of the switched linear systems under adjacent mode-dependent average dwell time (AMDADT) scheme. Then, we propose a state observer-based event-triggered sampling mechanism with waiting time and design an observer-based state feedback controller for the considered switched systems. Under the proposed event-triggered mechanism, the Zeno behavior can be easily excluded in all sampling processes. Finally, a numerical example is included to validate the proposed theory.