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

Xiaolu Liu, Duxin Chen () and Yan-Wu Wang
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Xiaolu Liu: School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, P. R. China2Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan 430074, P. R. China
Duxin Chen: School of Mathematics, Southeast University, Nanjing, 211189, P. R. China
Yan-Wu Wang: School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, P. R. China2Key Laboratory of Image Processing and Intelligent Control (Huazhong University of Science and Technology), Ministry of Education, Wuhan 430074, P. R. China

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 07, 1-13

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: Consensus; multi-agent systems; input saturation (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119400011

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