Title: Adaptive consensus of scale-free multi-agent systems with event-triggered communications

Authors: Jinping Mou; Huafeng Ge; Jie Wang

Addresses: Department of Mathematics and Information Sciences, Taizhou University, Linhai, 317000, China ' Department of Mathematics and Information Sciences, Taizhou University, Linhai, 317000, China ' Department of Mathematics and Information Sciences, Taizhou University, Linhai, 317000, China

Abstract: This paper investigates consensus problem of scale-free multi-agent system (SFMAS) with event-triggered communications, where the degree of each node follows power-law distribution. In the perceivable area, each agent select links according to the event-triggered function. It is shown that a bound of event-triggered function of each agent is based on the norm of its state. According to the event-triggered function, an adaptive consensus protocol is provided, and a model of SFMAS is obtained. On the basis of vector partial order, several consensus criteria are derived. It is also shown that the consensus of the probability connected SFMAS is mainly dependent on the event-triggered functions, even though the system is influenced by the bounded disturbances. Finally, a numerical example illustrates the reliability of the proposed methods.

Keywords: probability connected; adaptive consensus protocol; event-triggered function; scale free networks; SFNs; multi-agent systems; MAS; agent-based systems; event-triggered communications; power law distribution.

DOI: 10.1504/IJMIC.2017.082945

International Journal of Modelling, Identification and Control, 2017 Vol.27 No.2, pp.154 - 162

Received: 09 Dec 2015
Accepted: 10 Feb 2016
Published online: 16 Mar 2017 *

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