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Inverse optimal fixed-time direct fuzzy control for nonlinear switched systems

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Abstract

This article investigates the problem of inverse optimal fixed-time tracking for nonlinear switched systems. Given this, a control scheme is developed based on an adaptive direct fuzzy inverse optimal and fixed time. The proposed control strategy accomplishes optimal performance without solutions for the Hamiltonian function. On the other hand, this scheme designs inverse optimal controller and virtual controller without involving partial differential derivative terms, using a one-parameter learning mechanism so that the time difference of the Lyapunov function is non-positive. Two common Lyapunov function candidates are employed to demonstrate that the proposed control scheme stabilizes the switched system and the tracking error converges to a predefined region.

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Acknowledgements

This work was supported in part by the National Key Research and Development Program of China under Project 2020AAA0108303, in part by Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme, and in part by China Scholarship Council under Grant 202108440376.

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Authors and Affiliations

  1. School of Automation, Guangdong University of Technology, Guangzhou, 510006, People’s Republic of China

    Licheng Zheng, Junhe Liu, Yun Zhang, Zongze Wu & Zhi Liu

  2. South China University of Technology, Guangzhou, 510006, People’s Republic of China

    C. L. Philip Chen

  3. Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an, 710072, People’s Republic of China

    C. L. Philip Chen

  4. College of Electrical and Information Engineering, Hunan University, Changsha, 410082, People’s Republic of China

    Yaonan Wang

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  1. Licheng Zheng
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  2. Junhe Liu
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Correspondence to Zhi Liu.

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Zheng, L., Liu, J., Philip Chen, C.L. et al. Inverse optimal fixed-time direct fuzzy control for nonlinear switched systems. Nonlinear Dyn 112, 4435–4447 (2024). https://doi.org/10.1007/s11071-023-09067-5

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  • DOI: https://doi.org/10.1007/s11071-023-09067-5

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