New result on event-triggered dynamic output feedback H ∞ control for discrete-time switched systems

Abstract

In this paper, the event-triggered dynamic output feedback H∞ controller for a discrete-time switched linear system is addressed. The switching of subsystems during the inter-event interval has always been the focus of researchers’ discussions. Particularly, multiple switching is allowed to happen during an inter-event interval in this paper. To reflect the characteristics of multiple switching during an inter-event interval, the average dwell time approach is adopted in stability analysis and l2-gain performance analysis. Since the full information of system states cannot always be acquired directly, the dynamic output feedback control is taken into consideration. Furthermore, by utilizing a controller-mode-dependent Lyapunov function, we obtain criteria of global exponential l2 stability for switched systems, which are the basis of controller design. Finally, we provide a numerical example to prove the validity of the theorem proposed in this paper.