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Distributed adaptive fuzzy control approach for prescribed-time containment of uncertain nonlinear multi-agent systems with unknown hysteresis

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Abstract

Unknown hysteresis cannot be ignored in containment control, but the problem of prescribed-time containment for uncertain nonlinear multi-agent systems with unknown hysteresis remains unsolved. This paper mainly investigates this problem. At first, to achieve prescribed-time convergence of containment errors and reduce overshoot of containment errors, a prescribed-time convergence technique is proposed. Then, considering unknown nonlinear function and completely unknown hysteresis in uncertain nonlinear multi-agent systems, by introducing Nussbaum function, the fuzzy logic systems and backstepping technique, we propose a novel distributed adaptive fuzzy control method to ensure all containment errors converge to a predefined zone in a prescribed time. Finally, stability analysis and simulation results confirm the proposed control method is effective.

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Authors and Affiliations

  1. School of Automation, Guangdong University of Technology, Guangzhou, 510006, Guangdong, China

    Dacai Liu, Zhi Liu & Yun Zhang

  2. Guangdong-HongKong-Macao Joint Laboratory for Smart Discrete Manufacturing, Guangzhou, 510006, China

    Dacai Liu, Zhi Liu & Yun Zhang

  3. Faculty of Computer Science and Engineering, South China University of Technology, Guangzhou, Guangdong, China

    C. L. Philip Chen

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  1. Dacai Liu
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  2. Zhi Liu
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  3. C. L. Philip Chen
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  4. Yun Zhang
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Correspondence to Zhi Liu.

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This article was supported in part by the National Natural Science Foundation of China under Grant 61573108, in part by the Natural Science Foundation of Guangdong Province 2016A030313715, and in part by Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme.

C. L. Philip Chen: IEEE Fellow.

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Liu, D., Liu, Z., Chen, C.L.P. et al. Distributed adaptive fuzzy control approach for prescribed-time containment of uncertain nonlinear multi-agent systems with unknown hysteresis. Nonlinear Dyn 105, 257–275 (2021). https://doi.org/10.1007/s11071-021-06304-7

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