Global Leader-Following Consensus of a Group of Discrete-Time Neutrally Stable Linear Systems with Actuator Saturation by Event-Triggered Controls: The State Feedback Case

摘要

This paper studies the global leader-following consensus problem for a group of discrete-time neutrally stable linear systems subject to actuator saturation. An event-triggered state feedback law is constructed for each follower agent by using its own state and the states of its neighbors and an event-triggering strategy is designed for updating this control law. These event-triggered control laws are shown to achieve global leader-following consensus when the communication topology among the follower agents is strongly connected and detailed balanced and the leader is a neighbor of at least one follower agent. Simulation results illustrate the theoretical validity.