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Event‐Triggered Control for Multi‐Agent Systems with General Directed Topology and Time Delays
Author(s) -
Gao Lan,
Liao Xiaofeng,
Li Huaqing,
Chen Guo
Publication year - 2016
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1166
Subject(s) - zeno's paradoxes , correctness , computer science , event (particle physics) , multi agent system , network topology , focus (optics) , control (management) , function (biology) , distributed computing , topology (electrical circuits) , control theory (sociology) , mathematics , artificial intelligence , algorithm , computer network , optics , biology , physics , quantum mechanics , combinatorics , geometry , evolutionary biology
Abstract Recent years have witnessed a growing interest in event‐triggered strategies for coordination and cooperative control of multi‐agent systems. However, the most previous works and developments focus on the interactive network that has no communication delays. This paper deals with the consensus problem of an agent system with event‐triggered control strategy under communication time delays. We first propose a time delays system model, then present a novel event triggering function that not only avoids continuous communication but also excludes the Zeno behavior. Furthermore, we provide the consensus analysis using an inequality technique instead of the traditional linear matrix inequality method, and we demonstrate that the inter‐event times for each agent are strictly positive, which implies that the Zeno behavior can be excluded. Finally, simulation results show the effectiveness of the proposed approach and illustrate the correctness of the theoretical results.