Title: Event-triggered control for heterogeneous multi-agent systems with time-varying delays when using the second-order neighbours' information

Authors: Mei Yu; Chuan Yan; Cheng Li

Addresses: School of Control and Computer Engineering, North China Electric Power University, Beijing, 102206, China ' School of Control and Computer Engineering, North China Electric Power University, Beijing, 102206, China ' Engineering and Applied Science, Memorial University, St. Johns, NL, A1B 3X5, Canada

Abstract: This paper mainly investigates the event-triggered control for heterogeneous multi-agent systems with time-varying delays when both the first-order and the second-order neighbours' information are used. First, the heterogeneous multi-agent systems are composed of two kinds of agents differed by their dynamics. Then, event-triggered control laws are adopted so as to reduce the frequency of individual actuation updating under the sampled-data framework for discrete-time agent dynamics. By applying the Lyapunov functional method and the Kronecker product technique, two sufficient conditions for consensus are established in terms of linear matrix inequalities (LMIs) when the communication topologies are undirected connected graphs and switching networks. Finally, simulation examples are given to demonstrate the effectiveness of the proposed methods.

Keywords: consensus; multi-agent systems; MAS; agent-based systems; second-order neighbour information; heterogeneous; event-triggered control; time-varying delays; linear matrix inequalities; LMIs; communication topologies; undirected connected graphs; switching networks; simulation.

DOI: 10.1504/IJAAC.2016.077590

International Journal of Automation and Control, 2016 Vol.10 No.3, pp.286 - 307

Received: 25 May 2015
Accepted: 29 Jan 2016
Published online: 06 Jul 2016 *

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