A Distributed Dynamic Event-Triggered Control Approach to Consensus of Linear Multiagent Systems With Directed...

Area of Science:

• Control Theory
• Systems Engineering
• Networked Systems

Background:

• Consensus is a fundamental problem in distributed systems, aiming for agreement among agents.
• Existing static event-triggering mechanisms can lead to frequent communication and potential Zeno behavior.
• Linear multiagent systems with directed communication networks present unique control challenges.

Purpose of the Study:

• To develop a novel dynamic event-triggering mechanism for linear multiagent systems.
• To design a distributed control protocol ensuring exponential consensus convergence.
• To analyze the properties of the proposed mechanism, including prolonged interevent times and avoidance of Zeno behavior.

Main Methods:

• Introduction of a dynamic event-triggering mechanism, encompassing static mechanisms as special cases.
• Development of a distributed control protocol based on the dynamic event-triggering mechanism.
• Mathematical analysis to prove exponential convergence rate and absence of Zeno behavior.
• Algorithm design to prevent continuous communication.

Main Results:

• The dynamic event-triggering mechanism ensures exponential convergence rate for consensus.
• The proposed mechanism prolongs the minimum interevent time, reducing communication frequency.
• Zeno behavior is effectively avoided in all agents.
• An algorithm is presented to manage communication effectively.

Conclusions:

• The dynamic event-triggering mechanism offers an efficient approach to solving the consensus problem in linear multiagent systems.
• The developed control protocol guarantees stability and performance.
• The findings contribute to more robust and efficient distributed control strategies.