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Bipartite Consensus of Nonlinear Discrete-time Multi-agent Systems via Variable Impulsive Control

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  • Control Theory and Applications
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Abstract

This paper addresses the bipartite consensus of the nonlinear discrete-time multi-agent systems on network where cooperation and confrontation exist simultaneously. The communication graph has negative weights to represent antagonistic interaction among agents. Two kinds of distributed variable impulsive protocols are designed for case with leader and leaderless. Compared with existing fixed-time impulsive protocols, the action instant of variable impulsive protocol is in a time window and not fixed, which is more suitable for practical application. By employing Lyapunov function approach and comparison system theorem, the results reveal that the bipartite leaderless consensus and bipartite tracking consensus can be achieved. Meanwhile, the rate of bipartite consensus possess the characteristic of exponential, if some conditions are met. Finally, the effectiveness of the consensus analysis is verified by three simulation examples.

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Funding

This work was supported by the National Natural Science Foundation of China (Grant No: 61873213), Chongqing Graduate Research and Innovation Project in 2020 (Grant No: CYB20172), and the Chongqing Research Program of Basic Research and Frontier Technology (Grant No: cstc2015jcyjBX0052).

Author information

Authors and Affiliations

  1. Chongqing Key Laboratory of Mobile Communication Technology, the School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China

    Ziqiang Xu, Yun Li & Xiang Hu

  2. Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, the College of Electronic and Information Engineering, Southwest University, Chongqing, 400715, China

    Chuandong Li

  3. Key Laboratory of Image Information Processing and Intelligent Control, Ministry of Education, the School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, 430070, China

    Yiyan Han

Authors
  1. Ziqiang Xu
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  2. Chuandong Li
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  3. Yun Li
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  4. Yiyan Han
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  5. Xiang Hu
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Corresponding author

Correspondence to Yun Li.

Additional information

Ziqiang Xu received his B.S. degree in the College of Mechartronics and Control Engineering from Hubei Normal University, Huangshi, China, in 2016, and an M.S. degree in the College of Electronic and Information Engineering, Southwest University, Chongqing, China, in 2019. He is currently pursuing a Ph.D. degree with the School of Communication and Information Engineering, Chongqing University of Post and Telecommunications, Chongqing, China. His research interests include consensus of multi-agent systems, nonlinear control systems and stability of impulsive control systems, wireless and mobile communication networks.

Chuandong Li received his B.S. degree in applied mathematics from Sichuan University, Chengdu, China in 1992, and an M.S. degree in operational research and control theory and a Ph.D. degree in Computer Software and Theory from Chongqing University, Chongqing, China, in 2001 and in 2005, respectively. He has been a Professor at the College of Electronic and Information Engineering, Southwest University, Chongqing, China, since 2012, and has been an IEEE Senior member since 2010. From November 2006 to November 2008, he served as a research fellow in the Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, China. He has published more than 200 journal papers. His current research interest covers computational intelligence, neural networks, memristive systems, chaos control and synchronization, and impulsive dynamical systems.

Yun Li received his Ph.D. degree in communication engineering from the University of Electronic Science and Technology of China, Chengdu, China, in 2004. He is a Professor of Electrical Engineering with the College of Communications, Chongqing University of Posts and Telecommunication, Chongqing, China. He (co-)authored more than 150 journal/conference articles. His research interests include multiagent system, mobile cloud computing, cooperative/relay communications, green wireless communications, wireless ad hoc networks, sensor networks, and virtual wireless networks.

Yiyan Han received his B.S. degree from the College of Optoelectronic Engineering, Chongqing University, Chongqing, China, in 2014, and an M.S. degree from the College of Electronic and Information Engineering, Southwest University, Chongqing, in 2019, respectively. He is currently pursuing a Ph.D. degree with the School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China. His current research interests include impulsive control and adaptive control on multiagent systems.

Xiang Hu received his B.S. and M.S. degrees from the College of Computer and Information Science, Southwest University, Chongqing, China, in June 2012 and June 2015, respectively. He is currently pursuing a Ph.D. degree with the School of Communication and Information Engineering, Chongqing University of Post and Telecommunications, Chongqing, China. His current research interests include stability of dynamical systems, wireless and mobile communication networks, and multiagent systems.

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Xu, Z., Li, C., Li, Y. et al. Bipartite Consensus of Nonlinear Discrete-time Multi-agent Systems via Variable Impulsive Control. Int. J. Control Autom. Syst. 20, 461–471 (2022). https://doi.org/10.1007/s12555-020-0792-z

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  • DOI: https://doi.org/10.1007/s12555-020-0792-z

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