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Bipartite Fixed-time Consensus of Multi-agents System with Disturbance via Event-triggered Control

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  • Control Theory and Applications
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Abstract

This paper mainly investigates the bipartite fixed-time consensus problem with or without disturbances of multi-agent systems. Firstly, we propose a novel bipartite fixed-time consensus algorithm based on event-triggered mechanism. Secondly, we use Lyapunov stability theory to guarantee that all agents states can reach a consensus of bipartite fixed-time. Then, the fixed-time stability theory is used to estimate the settling time, which shows that the settling time has nothing to do with the initial state of all agents. Furthermore, it is proved that under this consensus protocol, no zeno behavior is occurred. Finally, two numerical examples are finally presented to illustrate the theoretical analysis correctness.

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Authors and Affiliations

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

    A-Hao Jiang, Xi-Sheng Zhan, Tao Han & Huai-Cheng Yan

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  1. A-Hao Jiang
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  2. Xi-Sheng Zhan
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  3. Tao Han
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Correspondence to Xi-Sheng Zhan.

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

A-Hao Jiang is pursuing an M.S. degree in College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi, China. He received his B.S. degree in information and computing science, Hubei Minzu University, Enshi, China in 2019. His research interests include cooperative control of multi-agent systems and complex networks.

Xi-Sheng Zhan is a professor in College of Mechatronics and Control Engineering, 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.

Tao Han received his Ph.D. degree in the College of Automation, Huazhong University of Science and Technology, Wuhan, China in 2017, and he is currently an associate professor in the College of Mechatronics and Control Engineering, Hubei Normal University. His research interests include cooperative control of multi-agent systems and complex networks.

Huai-Cheng 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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Jiang, AH., Zhan, XS., Han, T. et al. Bipartite Fixed-time Consensus of Multi-agents System with Disturbance via Event-triggered Control. Int. J. Control Autom. Syst. 20, 2249–2259 (2022). https://doi.org/10.1007/s12555-021-0413-5

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