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Nonsingular Terminal Sliding Mode Control of Uncertain Chaotic Gyroscope System Based on Disturbance Observer

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  • Xin Ma
  • Yeguo Sun
  • Fang Zhu
  • Ahmed Mostafa Khalil

Abstract

Based on disturbance observer, this paper develops a nonsingular terminal sliding mode control method for uncertain chaotic gyroscope system. Firstly, fuzzy logic system (FLS) is used to estimate the unknown function; then disturbance observer (DOB) is constructed to estimate the mixed disturbance, which consists of the fuzzy estimation error, external disturbance, and dead-zone input error. Subsequently, by using a nonsingular terminal sliding mode function, the control method proposed in this paper can achieve the sliding mode variable approaching a small neighborhood of zero and reduce chattering phenomenon of the tracking error and controller. Finally, comparative simulation results confirm the effectiveness of the method proposed in this paper.

Suggested Citation

  • Xin Ma & Yeguo Sun & Fang Zhu & Ahmed Mostafa Khalil, 2021. "Nonsingular Terminal Sliding Mode Control of Uncertain Chaotic Gyroscope System Based on Disturbance Observer," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, January.
    • Handle: RePEc:hin:jjmath:6646941
    DOI: 10.1155/2021/6646941
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