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Disturbance rejection using SMC-based-equivalent-input-disturbance approach

Author

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  • Yin, Xiang
  • She, Jinhua
  • Wu, Min
  • Sato, Daiki
  • Ohnishi, Kouhei

Abstract

This paper uses the sliding-mode control (SMC) to compensate for an estimation error caused by the filter in an equivalent-input-disturbance (EID) compensator. The application of the SMC brings another shortcoming: The chattering problem. To solve such a problem, this paper makes use the features of the EID approach and presents a method of designing a small switching gain based on the estimation error. Combining the SMC, the EID approach, and the switching-gain design law, this paper presents a new system configuration. The presented SMC-based-EID control system not only improves the disturbance-suppression performance of the EID approach but also solves the chattering problem in the SMC. A comparison shows the validity and superiority of our method. Furthermore, the robustness of the disturbance-rejection performance with respect to measurement noise is also shown by the example.

Suggested Citation

  • Yin, Xiang & She, Jinhua & Wu, Min & Sato, Daiki & Ohnishi, Kouhei, 2022. "Disturbance rejection using SMC-based-equivalent-input-disturbance approach," Applied Mathematics and Computation, Elsevier, vol. 418(C).
    • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s009630032100922x
    DOI: 10.1016/j.amc.2021.126839
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    References listed on IDEAS

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    1. Du, Xiao-Kun & Zhao, Hui & Chang, Xiao-Heng, 2015. "Unknown input observer design for fuzzy systems with uncertainties," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 108-118.
    2. Gao, Fang & Wu, Min & She, Jinhua & Cao, Weihua, 2016. "Disturbance rejection in nonlinear systems based on equivalent-input-disturbance approach," Applied Mathematics and Computation, Elsevier, vol. 282(C), pages 244-253.
    3. Xiaofei Zhang & Hongbin Ma & Man Luo & Xiaomeng Liu, 2020. "Adaptive sliding mode control with information concentration estimator for a robot arm," International Journal of Systems Science, Taylor & Francis Journals, vol. 51(2), pages 217-228, January.
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    Cited by:

    1. Aravindh Dharmarajan & Parivallal Arumugam & Sakthivel Ramalingam & Kavikumar Ramasamy, 2023. "Equivalent-Input-Disturbance Based Robust Control Design for Fuzzy Semi-Markovian Jump Systems via the Proportional-Integral Observer Approach," Mathematics, MDPI, vol. 11(11), pages 1-16, June.
    2. Aravinth, N. & Sakthivel, R. & Satheesh, T. & Chadli, M., 2023. "Disturbance suppression based quantized tracking control for periodic piecewise polynomial systems," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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