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Finite-time and Fixed-time Bipartite Consensus Tracking for Second-order Multi-agent Systems via an Integral Sliding-mode Approach

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  • Control Theory and Applications
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Abstract

This paper investigates the finite-time and fixed-time bipartite consensus tracking (Fin- and Fix-TBCT) problems for second-order multi-agent systems (MASs) under a signed directed communication network, in which both cooperative and competition exist. To achieve bipartite consensus tracking (BCT) within finite time and fixed time, two novel distributed control protocols utilizing integral sliding-mode control concept are presented and discussed, respectively. By virtue of Lyapunov stability and homogeneity with dilation, several sufficient conditions for achieving Fin- and Fix-TBCT for second-order MASs are obtained. Eventually, numerical simulation results are provided to verify the validity of the obtained theoretical results.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, 435002, China

    Xiao-Feng Zhao, Tao Han, Bo Xiao & Xi-Sheng Zhan

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

    Huaicheng Yan

Authors
  1. Xiao-Feng Zhao
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  2. Tao Han
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  3. Bo Xiao
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  4. Xi-Sheng Zhan
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  5. Huaicheng Yan
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Correspondence to Tao Han.

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Recommended by Associate Editor Jun Moon under the direction of Senior Editor PooGyeon Park. This work was supported in part by the National Natural Science Foundation of China under Grants 62071173, 62072164 and 61971181, and the Natural Science Foundation of Hubei Province under Grant 2022CFB479.

Xiao-Feng Zhao received her B.S. degree in Linyi University, Linyi, China in 2020. She is pursuing an M.S. degree from the School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, China. Her research interests include cooperative control of multiagent systems and complex networks.

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.

Bo Xiao received her M.S. degrees from the School of Information Science and Engineering from the Wuhan University of Science and Technology, Wuhan, China in 2011. She is a Lecturer in the School of Electrical Engineering and Automation, Hubei Normal University. Her research interests include networked control systems and multi-agent systems.

Xi-Sheng Zhan 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. He is a Professor in the School of Electrical Engineering and Automation, Hubei Normal University. His research interests include networked control systems, robust control, and iterative learning control.

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

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Zhao, XF., Han, T., Xiao, B. et al. Finite-time and Fixed-time Bipartite Consensus Tracking for Second-order Multi-agent Systems via an Integral Sliding-mode Approach. Int. J. Control Autom. Syst. 21, 3922–3931 (2023). https://doi.org/10.1007/s12555-022-0174-9

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  • DOI: https://doi.org/10.1007/s12555-022-0174-9

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