Abstract
This paper studies the distributed optimal output agreement problem of T-S fuzzy multi-agent systems under a weight-balanced and quasi-strongly connected graph. Consider a given global convex objective function, the objective of this paper is to steer the outputs of T-S fuzzy multi-agent systems to the optimal solution of this global objective function by the partial information of the local objective functions. To achieve the objective, a novel T-S fuzzy adaptive distributed optimal algorithm is proposed to guarantee that outputs of all agents can follow the global optimal solution. Then, the stability of overall closed-loop system composed of T-S fuzzy multi-agent systems and T-S fuzzy adaptive distributed scheme is established. In order to achieve the output agreement and minimize the objective function simultaneously, a sufficient condition is obtained. Finally, a numerical example is employed to demonstrate the effectiveness and superiority of the theoretical results.
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This work is supported by National Nature Science Foundation of China under Grant U1911401. Thanks to Professor Tengfei Liu and Changyun Wen for their guidance and help
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Li, J., Jin, Z. & Zhang, Y. Optimal Output Agreement for T-S Fuzzy Multi-agent Systems: An Adaptive Distributed Approach. Int. J. Fuzzy Syst. 25, 2453–2463 (2023). https://doi.org/10.1007/s40815-023-01493-2
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DOI: https://doi.org/10.1007/s40815-023-01493-2