Average dwell time based networked predictive control for switched linear systems with data transmission time-varying delays

Abstract

Abstract This paper investigates an average dwell time (ADT) based networked predictive control for discrete-time linear systems with data transmission time-varying delays. Since the data transmission time-varying delays and packet dropouts simultaneously exhibit in the sensor-to-controller and the controller-to-actuator channels, a predictor is proposed to approximate the current state with the delayed state measurement. Based on the estimation state, a synchronous switching controller is proposed, and its mode-dependent and mode-independent design methods are presented. The proposed methods not only guarantee the desired stability of the closed-loop systems but also tolerate some locally unstable subsystems. In addition, the decay rate of the closed-loop system can be pre-regulated. Moreover, given some prior activation probabilities of subsystems, the ADT can be further reduced, thus more frequent switching dynamics can be allowed. Numerical example is provided to show the effectiveness of the developed method.