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Adaptive Control for group consensus of fuzzy singular fractional order multi-agent systems under non-fragile controller

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Abstract

This paper concentrates on the adaptive control for consensus of fuzzy singular fractional order multi-agent systems (FOMASs) under the fractional order \(\alpha \in (0,1]\). The objective of this paper is to design reasonable adaptive controllers to bring the modeled to a group consensus state. Firstly, to increase the interference resistance of the controller, a novel adaptive fuzzy non-fragile output feedback control law is designed for the fuzzy singular FOMASs. Then, the algorithm to determine the system group consensus is proposed with fewer decision variables. Furthermore, by using Lyapunov direct method, the lower bound is given, and then, closed-loop system is ultimately bounded. Finally, numerical simulations are performed to verify the feasibility and effectiveness of the proposed algorithm.

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Author information

Authors and Affiliations

  1. College of Sciences, Shenyang, Liaoning, 110819, China

    Xuefeng Zhang

  2. School of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Zhe Wang & Dingyu Xue

  3. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, China

    Jin-Xi Zhang

Authors
  1. Zhe Wang
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  2. Xuefeng Zhang
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  3. Jin-Xi Zhang
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  4. Dingyu Xue
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Correspondence to Xuefeng Zhang.

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The authors declare that they have no conflict of interest.

Additional information

This work was supported in part by the National Natural Science Foundation of China under Grant 62103093 and the National Key Research and Development Program of China under Grant 2022YFB3305905.

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Wang, Z., Zhang, X., Zhang, JX. et al. Adaptive Control for group consensus of fuzzy singular fractional order multi-agent systems under non-fragile controller. Eur. Phys. J. Plus 139, 322 (2024). https://doi.org/10.1140/epjp/s13360-024-05121-2

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