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Distributed Finite-time Adaptive Containment and Bipartite Containment Control for Nonlinear Multi-agent System

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  • Control Theory and Applications
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Abstract

Distributed second-order finite-time adaptive containment and bipartite containment control are investigated for multi-agent system with disturbance and nonlinear function under undirected graph in this paper. Firstly, two controllers are designed to achieve finite-time adaptive containment and bipartite containment control, which both based on terminal sliding mode. Then, desired finite-time containment and bipartite containment protocols are proposed and settling time can be estimated. It is proved that settling time of finite-time containment is associated to initial state. Feasibility of theory is proved by simulation experiments.

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Authors and Affiliations

  1. School of Mechatronics and Control Engineering, Hubei Normal University, Huangshi, 435002, China

    Zijing Li, Jie Wu, Xisheng Zhan & Tao Han

  2. School of Information Science and Engineering, East China University of Science and Technology, Shanghai, 200237, China

    Huaicheng Yan

Authors
  1. Zijing Li
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  2. Jie Wu
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  3. Xisheng Zhan
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  4. Tao Han
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Correspondence to Xisheng Zhan.

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There is no conflict of interest in this article.

Zijing Li is pursuing an M.S. degree from the School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, China. She received her B.S. degree from Zhengzhou University of Aeronautics, Zhengzhou, China in 2020. She research interests include cooperative control of multi-agent systems and complex networks.

Jie Wu is a professor with the School of Electrical Engineering and Automation, Hubei Normal University. She received her B.S. and M.S. degrees in control theory and control engineering from the Liaoning Shihua University, Fushun, China, in 2004 and 2007, respectively. Her research interests include networked control systems, robust control, and complex network.

Xisheng Zhan is a professor with the School of Electrical Engineering and Automation, Hubei Normal University. He received his B.S. and M.S. degrees in control theory and control engineering from the Liaoning Shihua University, Fushun, China, in 2003 and 2006, respectively. He received his Ph.D. degree in control theory and applications from the Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China, in 2012. His research interests include networked control systems, robust control, and iterative learning control.

Tao Han received his Ph.D. degree from the School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan, China, in 2017, and he is currently a professor with the School of Electrical Engineering and Automation, Hubei Normal University. His research interests include cooperative control of multi-agent systems and complex networks.

Huaicheng Yan is a Professor with the School of Information Science and Engineering, East China University of Science and Technology. He received his B.S. degree in automatic control from Wuhan University of Technology, Wuhan, China, in 2001, and received his Ph.D. degree in control theory and control engineering from the Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China, in 2007. His current research interests include networked systems and multi-agent systems.

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This work was partially supported by the National Natural Science Foundation of China under Grants 62271195, 61971181 and 62072164, and Outstanding Youth Science and Technology Innovation Team in Hubei Province under Grant T2022027 and B2022156.

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Li, Z., Wu, J., Zhan, X. et al. Distributed Finite-time Adaptive Containment and Bipartite Containment Control for Nonlinear Multi-agent System. Int. J. Control Autom. Syst. 21, 1570–1580 (2023). https://doi.org/10.1007/s12555-022-0156-y

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