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Distributed impulsive consensus of nonlinear multi-agent systems with input saturation

School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan 430074, P. R. China

E-mail Address: emspc@126.com

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Duxin Chen

School of Mathematics, Southeast University, Nanjing, 211189, P. R. China

E-mail Address: chendx@seu.edu.cn

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Yan-Wu Wang

School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, P. R. China

Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan 430074, P. R. China

E-mail Address: wangyw@mail.hust.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0129183119400011Cited by:11 (Source: Crossref)

This article is part of the issue:

Special Issue on The Chinese Conference on Complex Networks 2018 (CCCN2018), Chongqing, China, 12–14 October 2018; Guest Editors: Gang Yan, Tongji University, Tao Jia, Southwest University and Linyuan Lü, University of Electronic Science and Technology of China

Abstract

This paper investigates the leader-follower exponential consensus problem of a class of Lipschitz nonlinear multi-agent systems (MASs) with input saturation. Since each agent has nonlinear dynamics, the system is not asymptotically null controllable with bounded controls. Therefore, the widely-used low-gain feedback method for designing consensus protocols of MASs with input saturation can no longer work. Taking advantage of the stability theory of impulsive systems and features of the Laplacian matrix, and combining the properties of convex hull, a distributed impulsive consensus protocol is proposed. Still, the shape reference set is introduced to assess the attraction domain of leader–follower MASs. Finally, a numerical experiment validates the effectiveness of the proposed anti-saturation impulsive consensus algorithm.

Keywords:

PACS Nos.: 11.25.Hf, 123.1K

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