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Sliding Mode Control for Uncertain Fractional-Order Systems with Time-Varying Delays

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Abstract

This article investigates the asymptotic stability of fractional-order (FO) systems with uncertainty and time-varying delay based on the sliding mode control (SMC) method. First, based on the SMC method, a suitable integral type fractional-order sliding mode surface (FOSMS) is designed and the dynamic equations of FO systems under SMC are obtained. Second, by inequality techniques, the condition for asymptotic stability of the FO system has been mathematically established. Then, a novel adaptive SMC law is introduced, which can make sure the accessibility of sliding mode surfaces (SMS). Finally, the feasibility of the results obtained in this paper is verified through a simulation.

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Data sharing is not applicable to this article as no data sets were generated or analyzed during the current study.

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Acknowledgements

This work is partially supported by the Guangxi Natural Science Foundation (2023GXNSFAA026104).

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Authors and Affiliations

  1. College of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, 201620, China

    Zhiguo Ren, Dongbing Tong & Qiaoyu Chen

  2. College of Information Engineering, Guangxi City Vocational University, Nanning, 532100, Guangxi, China

    Dongbing Tong

  3. College of Information Sciences and Technology, Donghua University, Shanghai, 200051, China

    Wuneng Zhou

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  1. Zhiguo Ren
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  2. Dongbing Tong
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  4. Wuneng Zhou
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Correspondence to Dongbing Tong.

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Ren, Z., Tong, D., Chen, Q. et al. Sliding Mode Control for Uncertain Fractional-Order Systems with Time-Varying Delays. Circuits Syst Signal Process (2024). https://doi.org/10.1007/s00034-024-02643-z

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