Event-triggered H∞ asynchronous control for 2-D switched system in FMLSS model

This paper investigates the event-triggered asynchronous control problem of a 2-D discrete-time switched system described by the FMLSS model with an average dwell time approach. Specifically, the sufficient condition for event-triggered stabilization of the 2-D asynchronously switched system and the sufficient condition for the event-triggered H∞ control of this system with a specified disturbance attenuation performance level are given, respectively. On this basis, sufficient conditions for the solvability of the corresponding event-triggered state feedback controllers are derived by using the linear matrix inequalities (LMIs) technique. Finally, two numerical examples are used to verify the validity of the proposed controller design approaches