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Global leader-following consensus of a group of discrete-time neutrally stable linear systems by event-triggered bounded controls. (English) Zbl 1448.93308

Summary: 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 linear feedback law, either of the state feedback type or the output feedback type, is constructed for each follower agent and an event-triggering strategy is designed for updating these control laws. 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.

MSC:

93D50 Consensus
93C65 Discrete event control/observation systems
93A13 Hierarchical systems
93A16 Multi-agent systems
93B52 Feedback control
93C55 Discrete-time control/observation systems
93C05 Linear systems in control theory
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