Journal of Systems Engineering and Electronics ›› 2021, Vol. 32 ›› Issue (5): 1031-1040.doi: 10.23919/JSEE.2021.000088

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Distributed fuzzy fault-tolerant consensus of leader-follower multi-agent systems with mismatched uncertainties

Sader MALIKA1,2(), Fuyong WANG1,2(), Zhongxin LIU1,2,*(), Zengqiang CHEN1,2()   

  1. 1 College of Artificial Intelligence, Nankai University, Tianjin 300350, China
    2 Tianjin Key Laboratory of Intelligent Robotics, Nankai University, Tianjin 300350, China
  • Received:2020-12-22 Online:2021-10-18 Published:2021-11-04
  • Contact: Zhongxin LIU E-mail:1120190153@mail.nankai.edu.cn;wangfy@nankai.edu.cn;lzhx@nankai.edu.cn;chenzq@nankai.edu.cn
  • About author:|MALIKA Sader was born in 1991. She received her B.S. degree at the School of Mathematical Science from Huaiyin Normal University in 2016. She received her M.S. degree at the College of Mathematics and System Sciences from Xinjiang University in 2019. She is currently pursuing her Ph.D. degree in Nankai University. Her current research interests include multi-agent systems, complex dynamical networks, and intelligent control. E-mail: 1120190153@mail.nankai.edu.cn||WANG Fuyong was born in 1990. He received his B.S. degree in electrical engineering and automation and M.S. degree in computer application technology from Ludong University, Yantai, China, in 2013 and 2016, respectively, and Ph.D. degree in control theory and control engineering from Nankai University, Tianjin, China, in 2019. He has been with Nankai University, where he is currently a lecturer with the Department of Automation. His current research interests include multi-agent systems, networked control systems, and complex networks. E-mail: wangfy@nankai.edu.cn||LIU Zhongxin was born in 1975. He received his B.S. degree in automation in 1997 and Ph.D. degree in control theory and control engineering in 2002 from Nankai University, Tianjin, China, He is now a professor of the Department of Automation in Nankai University. His current research interests include multi-agent systems, complex dynamical networks, and intelligent control. E-mail: lzhx@nankai.edu.cn||CHEN Zengqiang was born in 1964. He received his B.S., M.S., and Ph.D. degrees from Nankai University, in 1987, 1990, and 1997, respectively. He is currently a professor of control theory and engineering in Nankai University, and the deputy director of the Institute of Robotics and Information Automation. His current research interests include intelligent predictive control, chaotic systems and complex dynamic network, and multi-agent system control. E-mail: chenzq@nankai.edu.cn
  • Supported by:
    This work was supported by Tianjin Natural Science Foundation of China (20JCYBJC01060; 20JCQNJC01450), the National Natural Science Foundation of China (61973175), and Tianjin Postgraduate Scientific Research and Innovation Project (2020YJSZXB03; 2020YJSZXB12)

Abstract:

In this paper, the distributed fuzzy fault-tolerant tracking consensus problem of leader-follower multi-agent systems (MASs) is studied. The objective system includes actuator faults, mismatched parameter uncertainties, nonlinear functions, and exogenous disturbances under switching communication topologies. To solve this problem, a distributed fuzzy fault-tolerant controller is proposed for each follower by adaptive mechanisms to track the state of the leader. Furthermore, the fuzzy logic system is utilized to approximate the unknown nonlinear dynamics. An error estimator is introduced between the mismatched parameter matrix and the input matrix. Then, a selective adaptive law with relative state information is adopted and applied. When calculating the Lyapunov function’s derivative, the coupling terms related to consensus error and mismatched parameter uncertainties can be eliminated. Finally, a numerical simulation is given to validate the effectiveness of the proposed protocol.

Key words: distributed fuzzy fault-tolerant control (FTC), tracking consensus problem, leader-follower multi-agent system, mismatched parameter uncertainty