Observer-Based Event-Triggered Control: A Discrete-Time Approach

This paper addresses the problem of designing an event-triggered strategy for discrete-time systems with an observer-based controller. The considered system has the actuator and the sensor in different nodes separated by a network. The strategy consists in minimizing the use of the network by only transmitting data from the observer to the controller and from the controller to the actuator when a trigger is generated by an event-trigger function. Based on the Lyapunov theory, conditions for the stability of the closed-loop system in terms of linear matrix inequalities (LMIs) are derived. Convex optimization problems are provided to tune the proposed trigger functions aiming at reducing the usage of the network. Simulation examples illustrate the proposed method and compare the efficiency of the proposed optimization problems.