Event-triggered H∞ control of discrete-time switched linear systems with delays

This paper studies the H-infinity control problem of discrete-time delayed switched systems with average dwell time switching signals using event-triggered-mechanism. The event-triggeredmechanism can reduce redundant information transmission. First, employing state-feedback controller, two sufficient conditions are proposed to guaranteeing (i) exponential stability of the disturbance-free closed-loop system and (ii) H-infinity performance of the closed-loop system with disturbance. Moreover, the controller gain is explicitly computed by solving a set of linear matrix inequalities. Second, results obtained for state-feedback controller are extended to those for observer-based state-feedback controller, and both the controller and observer gains are explicitly computed. All conditions are derived by utilizing a properly constructed decay-rate-dependent Lyapunov functional. Finally, a numerical example illustrates the validity of the obtained theoretical results.