Event-triggered static/dynamic feedback control for discrete-time linear systems

Abstract

This paper visits the design of event-triggered static and dynamic feedback controllers for discrete-time linear systems. For the efficiency of energy, we make the first attempt to devise a switching event-triggered mechanism (ETM) which is characterized by a switching between the discrete-time sampled-data control and the common continuous ETM. In this sense, the event detector has a waiting time interval after sending a sampling signal. This method facilitates to enlarge the lower bound of inter-execution intervals so that the number of samplings can be reduced essentially. The issue of actuator saturation is also considered in this paper. By generalized sector condition, a switching Lyapunov functional is constructed to derive the sufficient conditions such that the discrete-time linear systems are local stable. Based on the stability conditions, the calculation methods are provided to solve both the desired control gains and the triggering parameters. Finally, numerical simulations are given to validate the effectiveness and superiority of the proposed method.