Observer-based finite-time event-triggered H∞ control for nonlinear switched systems with interval time-varying delay

The problem of observer-based finite-time event-triggered H-infinity control for nonlinear uncertain switched systems is investigated in this paper. An observer-based event-triggered controller is constructed using a state observer. The event-triggering updating strategies for the control law are designed. The multiple Lyapunov-Krasovskii functional and average dwell time technique are utilized to derive some sufficient conditions that guarantee the switched system is observer-based event-triggered H-infinity finite-time stabilizable. We give the observer gain and controller gain. At the end of this paper is a numerical example that illustrates the effectiveness and advantages of the proposed approaches.