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Distributed Reset Control for Leader-following Consensus of Nonlinear Multi-agent Systems

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Abstract

This paper studies the leader-following consensus problem of nonlinear multi-agent systems with directed graph. A distributed reset control protocol that has jumping changes is proposed for the purpose of improving transient consensus performance. First, the case with continuous communication between neighboring agents is considered, and the obtained results are extended to the case with asynchronous sampling, which is more practical under network environment. Then, a hybrid model consisting of both flow dynamics and jump dynamics is constructed for the closed-loop system to deal with different jump dynamics in an unified framework. Based on this model, sufficient conditions are derived for consensus analysis. Finally, numerical examples are presented to testify the effectiveness of theoretical results.

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Funding

This work was supported by Key R & D Program of China (2019YFB1312104), Natural Science Foundation of China (62073277, 61825304), Natural Science Foundation of Hebei Province (F2020203016), Key Research and Development Program of Hebei (20311803D), and Postgraduate’s Innovation Fund Project of Hebei Province(CXZZSS2021065).

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Authors and Affiliations

  1. Institute of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Guanglei Zhao, Hailong Cui & Zhijie Li

Authors
  1. Guanglei Zhao
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  2. Hailong Cui
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  3. Zhijie Li
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Corresponding author

Correspondence to Hailong Cui.

Additional information

Guanglei Zhao received his Ph.D. degree in electrical engineering from Shanghai Jiaotong University, Shanghai, China, in 2015. From 2012 to 2013, he was a Visiting Scholar with The University of Melbourne, Parkville, VIC, Australia. He is currently a Full Professor with the Institute of Electrical Engineering, Yanshan University, Qinhuangdao, China. His research interests include multiagent systems, networked control systems, and hybrid systems.

Hailong Cui received his B.S. degree in College of Electronic and Information Engineering from Hebei University, Baoding, China, in 2019. He is currently working toward an M.S. degree in electrical engineering from Yanshan University, Qinhuangdao, China. His research interest is in reset control.

Zhejie Li received his B.S. degree in College of Information and Electrical Engineering from HeBei University of Engineering, Han-Dan, China, in 2015. He is currently working toward a Ph.D. degree in electrical engineering from Yanshan University, Qinhuangdao, China. His research interest is in multiagent system control.

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Zhao, G., Cui, H. & Li, Z. Distributed Reset Control for Leader-following Consensus of Nonlinear Multi-agent Systems. Int. J. Control Autom. Syst. 20, 983–991 (2022). https://doi.org/10.1007/s12555-021-0030-3

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