Forced event-triggered finite-time extended dissipative control for a class of singularly perturbed switched systems.

In this paper, the issue of event-triggered finite-time extended dissipative control is investigated for singularly perturbed switched systems(SPSSs). In the application of event-triggered technique in switched systems, the transmitted information is often out of sync with the system mode. To avoid this asynchrony problem, a forced-triggering dynamic event-triggered protocol (FTDETP) is introduced. Events are force triggered at mode switching instants, and the event-triggered frequency is depend on the change rate of the system state. Based on ɛ-dependent Lyapunov method, sufficient conditions for finite-time extended dissipative performance of the considered systems are devised and forced-triggering event-triggered controllers are designed. Finally, the validity and practicability of the proposed theorems are illustrated on an inverted pendulum control system and a simple circuit system.