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Distributed Adaptive Bipartite Containment Control of Linear Multi-agent Systems with Structurally Balanced Graph

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  • Control Theory and Applications
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Abstract

This study researches the bipartite containment control problem of heterogeneous linear multi-agent systems under a signed digraph. The bipartite containment problem can be viewed as the output regulation problem by devising a compensator. By distributing a coupling weight which is time-varying to each follower, the adaptive protocols are proposed. Thus, we propose the distributed dynamic state feedback and output feedback protocols in conjunction with adaptive control, by which followers will converge to the convex hull crossed by leaders. Additionally, based on the utilization of the Lyapunov function approach, some extensive criteria are deduced to guarantee the bipartite containment of heterogeneous multi-agent system. The final simulations demonstrate the viability of the theoretical results.

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Authors and Affiliations

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

    Zihan Liu, Xisheng Zhan, Jie Wu & Tao Han

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

    Huaicheng Yan

Authors
  1. Zihan Liu
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  2. Xisheng Zhan
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  3. Jie Wu
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  4. Tao Han
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Correspondence to Xisheng Zhan.

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This work was partially supported by the National Natural Science Foundation of China under Grants 62072164, 61971181, 62071173 and 61871178.

Zihan Liu is pursuing an M.S. degree in the School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, China. She received her B.Eng. degree in Wuhan University of Science and Technology, Wuhan, China in 2020. Her research interests include cooperative control of multi-agent systems and complex networks.

Xisheng Zhan is a professor in 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 in 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.

Jie Wu is a professor in 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 in 2007, respectively. Her research interests include networked control systems, robust control, and complex network.

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 in 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 a 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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Liu, Z., Zhan, X., Wu, J. et al. Distributed Adaptive Bipartite Containment Control of Linear Multi-agent Systems with Structurally Balanced Graph. Int. J. Control Autom. Syst. 20, 3476–3486 (2022). https://doi.org/10.1007/s12555-021-0937-8

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  • DOI: https://doi.org/10.1007/s12555-021-0937-8

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