Discrete event-triggered H∞ control of switched time-delay systems under MADT switching

The paper studies discrete event-triggered H
∞
control of switched time-delay systems with external disturbance. To reduce the computational burden and economize on resources, assuming that the sampled data of the system mode is attainable by the controller, a discrete event-triggered strategy (DETS) is established and a triggering-dependent state feedback controller is constructed. Then, utilizing the mode-dependent average dwell time (MADT) and multi-Lyapunov functional method, the sufficient conditions for the exponential stability and H
∞
performance of the system are derived. Finally, a numerical example is given to illustrate the impact of the proposed method.