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Fuzzy Fractional-Order Fast Terminal Sliding Mode Control for Some Chaotic Microcomponents

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Abstract

In this paper, we propose a novel fractional-order fast terminal sliding mode control method, based on an integer-order scheme, to stabilize the chaotic motion of two typical microcomponents. We apply the fractional Lyapunov stability theorem to analytically guarantee the asymptotic stability of a system characterized by uncertainties and external disturbances. To reduce chattering, we design a fuzzy logic algorithm to replace the traditional signum function in the switching law. Lastly, we perform numerical simulations with both the fractional-order and integer-order control laws. Results show that the proposed control law is effective in suppressing chaos.

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Acknowledgements

This study was supported by the National Natural Science Foundation of China (No. 11372210 and No. 51405343), the Research Fund for the Doctoral Program of Higher Education of China (No. 20120032110010) and Tianjin Research Program of Application Foundation and Advanced Technology (No. 12JCZDJC28000 and No. 15JCQNJC05000).

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Authors and Affiliations

  1. School of Mechanical Engineering, Tianjin University, Tianjin, 300350, China

    Jianxin Han, Qichang Zhang, Wei Wang & Jing Wang

  2. Tianjin Key Laboratory of High Speed Cutting and Precision Machining, Tianjin University of Technology and Education, Tianjin, 300222, China

    Jianxin Han

  3. Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin, 300350, China

    Jianxin Han, Qichang Zhang, Wei Wang & Jing Wang

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  1. Jianxin Han
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  2. Qichang Zhang
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  3. Wei Wang
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  4. Jing Wang
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Correspondence to Wei Wang.

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Han, J., Zhang, Q., Wang, W. et al. Fuzzy Fractional-Order Fast Terminal Sliding Mode Control for Some Chaotic Microcomponents. Trans. Tianjin Univ. 23, 289–294 (2017). https://doi.org/10.1007/s12209-017-0050-5

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  • DOI: https://doi.org/10.1007/s12209-017-0050-5

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