Finite-time event-triggered H∞ control for switched systems with time-varying delay

This paper considers the problem of finite-time event-triggered H∞H∞ control for switched linear systems with time-varying delay and norm-bounded exogenous disturbance. First by employing a state observer, an observer-based event-triggered controller is designed to guarantee the finite-time stabilization of the resulting dynamic augmented closed-loop system. Then based on Lyapunov-like function method and average dwell time technique, some sufficient conditions are given to ensure the finite-time stabilization of the H∞H∞ control system. A numerical example is finally exploited to verify the effectiveness and potential of the achieved control scheme.