Periodic event-triggered state-feedback control for discrete-time linear systems

摘要

This paper investigates the periodic event-triggered control for discrete-time linear systems. The discrete time plant denotes a combination of the continuous-time controlled plant, the sensors and the actuator. A general packaged component, event machine, is introduced to conduct the detection and judgement of the events. Then the periodic event-triggered control for the discrete-time system including a discrete-time plant, an event machine, a transmitter and a continuous static controller, exhibits some different behaviors from that for the continuous-time system. Especially, in this system, the sampling sequences and the event verifying sequences may be independent from each other. Furthermore, according to the difference between the two sequences, the periodic event-triggered control system is classified into three cases, and the corresponding models are established for the three cases: a discrete-time perturbed linear system, a discrete time-delay system and a switched system, respectively. Moreover, the stability conditions for the three cases are proposed. Finally, a numerical example is given to illustrate the efficiency and feasibility of the obtained results. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.