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ABSTRACT
In this paper, we investigate the perfect consensus problem for second-order linearly parameterised multi-agent systems (MAS) with imprecise communication topology structure. Takagi-Sugeno (T–S) fuzzy models are presented to describe the imprecise communication topology structure of leader-following MAS, and a distributed adaptive iterative learning control protocol is proposed with the dynamic of leader unknown to any of the agent. The proposed protocol guarantees that the follower agents can track the leader perfectly on [0,T] for the consensus problem. Under alignment condition, a sufficient condition of the consensus for closed-loop MAS is given based on Lyapunov stability theory. Finally, a numerical example and a multiple pendulum system are given to illustrate the effectiveness of the proposed algorithm.
Acknowledgments
The author would like to thank the editors and the anonymous reviewers for many helpful comments and suggestions.
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No potential conflict of interest was reported by the authors.
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Jiaxi Chen
Jiaxi Chen graduated from Henan Institute of Science and Technology, China in 2015. He is currently an MSc degree candidate at the Department of Applied Mathematics, Xidian University. His research interests include adaptive control, learning control of MAS and T–S fuzzy systems.
Junmin Li
Junmin Li graduated from Xidian University, China in 1987. He received the MSc degree from Xidian University in 1990 and the PhD degree from the Xi'an Jiao Tong University, China in 1997. He is currently a professor at the Department of Applied Mathematics, Xidian University. His research interests include adaptive control, learning control of MAS, hybrid system control theory and the networked control systems, etc.