Periodic event-triggered control for switched affine systems

This paper deals with the periodic event-triggered control problem of switched affine systems. The event-triggered mechanism leads to the mismatch phenomenon between the active subsystem and controller, which inevitably causes the asynchronous switching. Taking the asynchronization into consideration, we co-design the event-triggered mechanism and the switching controller to ensure the system state tends to a ball containing the desired equilibrium point. The maximal asynchronous interval is guaranteed by the upper bound of the triggered holding interval. Finally, an example illustrates the effectiveness of the proposed theoretical results.