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Adaptive sliding mode output tracking control based-FODOB for a class of uncertain fractional-order nonlinear time-delayed systems

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Abstract

An adaptive sliding mode control (ASMC) method, based on fractional-order disturbance-observer (FODOB), is presented for a class of fractional-order nonlinear time-delay systems (FONTDS) with uncertainties to solve the target output tracking problem. The external disturbances are estimated by FODOB, and the unknown internal perturbations of the system are adaptively estimated by sliding mode control (SMC). Furthermore, Gronwall’s inequality approach is used to ensure that the output tracking error is uniformly bounded for FONTDS. Firstly, a fractional-order sliding mode control (FOSMC) based FODOB is proposed for a fractional-order linear time-delay system (FOLTDS). Secondly, combined with adaptive estimation, the ASMC of FONTDS is studied. Finally, a numerical example of FONTDS is used to verify the effectiveness of the proposed methods.

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Authors and Affiliations

  1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China

    Zhen Wang, XinHe Wang & Bo Meng

  2. School of Mathematics Science, Liaocheng University, Liaocheng, 252059, China

    JianWei Xia

  3. School of Electrical Engineering and Information, Anhui University of Technology, Maanshan, 243002, China

    Hao Shen

Authors
  1. Zhen Wang
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  2. XinHe Wang
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  3. JianWei Xia
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  4. Hao Shen
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  5. Bo Meng
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Correspondence to Bo Meng.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61573008 and 61973199) and the Post-Doctoral Applied Research Projects of Qingdao (Grant No. 2015122).

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Wang, Z., Wang, X., Xia, J. et al. Adaptive sliding mode output tracking control based-FODOB for a class of uncertain fractional-order nonlinear time-delayed systems. Sci. China Technol. Sci. 63, 1854–1862 (2020). https://doi.org/10.1007/s11431-019-1476-4

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  • DOI: https://doi.org/10.1007/s11431-019-1476-4

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