Adaptive event-triggered control for semi-Markovian switching linear systems with process time-varying delays

This paper investigates an adaptive event-triggered control for semi-Markovian jump linear systems with process time-varying delays. For reducing the data transmission amount from the sensorto-controller, a switching-mode dependent adaptive event-trigger (AET) is proposed wherein a positive auxiliary function is involved. Utilizing the received non-periodical state information, a switching state feedback control law is investigated. By aid of an exponential inequality technique, the controller design method is conveniently presented. The proposed control method not only guarantees the globally exponentially stability of the closed-loop system but also is capable of regulating the decay rate. An approximation approach for the minimal event-triggered time-interval of the AET is given as well. It has been proved that the unwanted Zeno behavior will not exhibit. The proposed control method is employed to a transmission control protocol based active queue management (TCP/AQM) system and the numerical experiment demonstrates its effectiveness. (c) 2023 The Franklin Institute. Published by Elsevier Inc. All rights reserved.