Title: Consensus of linear discrete-time multi-agent systems based on full-dimensional state observer

Authors: Yong Xu; Jinfeng Gao; Ting Shi; Minming Gu; Meizhen Lei

Addresses: Institute of Automation, Zhejiang Sci-Tech University, Hangzhou, 310018, China ' Institute of Automation, Zhejiang Sci-Tech University, Hangzhou, 310018, China ' Hangzhou Dianzi University, 310018, Hangzhou, China ' Institute of Automation, Zhejiang Sci-Tech University, Hangzhou, 310018, China ' Institute of Automation, Zhejiang Sci-Tech University, Hangzhou, 310018, China

Abstract: This paper considers consensus of linear discrete-time multi-agent systems (MASs) based on full-dimensional state observer. Compared to Cheng et al. (2011), a new consensus protocol for the discrete-time MASs with virtual communication network topology is proposed and has faster convergence speed. Under the new consensus protocol, each agent gets not only its own state through the full-dimensional observer, but also the states of its neighbours and its instantaneous neighbours to reach consensus. Necessary and sufficient conditions of consensus for the MASs are presented. Finally, an example is provided to illustrate the effectiveness of the proposed method, and extended to directed topology case.

Keywords: consensus protocol; multi-agent systems; MAS; state observer; discrete-time systems; convergence speed; agent-based systems.

DOI: 10.1504/IJMIC.2016.080294

International Journal of Modelling, Identification and Control, 2016 Vol.26 No.3, pp.187 - 195

Received: 18 May 2015
Accepted: 08 Sep 2015
Published online: 11 Nov 2016 *

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