Event‐triggered H_∞ control of discrete‐time switched linear systems with delays

Abstract

Abstract This paper studies the control problem of discrete‐time delayed switched systems with average dwell time switching signals using event‐triggered mechanism. The event‐triggered mechanism 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) 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.