Improved conditions for event-triggered control of switched linear systems

The sampled-data event-triggered control problem of switched linear systems in which both the sampled information of the system states and the switching signal are available to the controller at the event-triggered transmission instants is studied here. The coexistence of the event-triggered transmission and the switching behaviour makes the switching signal of the controller and the switching signal of the system asynchronous. By constructing a new multiple Lyapunov-Krasovskii functional and using the asynchronous switching method, the exponential stability conditions characterised by mode-dependent average dwell time of the switching signal are proposed. Then, the corresponding solvability conditions for the event-triggered state feedback controller are formulated. Finally, a numerical example is given to illustrate the validity of the proposed results.