Event-trigger-based stabilization of switched linear systems with asynchronously switching

This article studies the stabilization of switched linear systems by means of continuous event-triggered control with asynchronously switching. Considering the system state may not be measured directly, a full-order state observer is designed first. On the basis of the designed state observer, a continuous event-trigger mechanism is proposed to reduce the communication burden. When establishing the closed-loop system, the cases of no trigger and multiple triggers in an interval of system switching are considered respectively. On the basis of the multiple Lyapunov function method and the average dwell time (ADT) method, a stabilization theorem for the switched linear system is given. In addition, it proves that the minimum event-trigger interval is greater than zero so as to exclude the Zeno behavior. A simulation example is given to verify the proposed main result.