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Robust disturbance rejection for a fractional-order system based on equivalent-input-disturbance approach

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  • Special Focus on Advances in Disturbance/Uncertainty Estimation and Attenuation Techniques With Applications
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Abstract

This paper presents a disturbance rejection method that is based on the equivalent-input-disturbance approach for uncertain fractional-order (FO) systems. An FO observer is used to reconstruct the plant states and estimate the disturbances. A disturbance estimator is incorporated in the construction of the FO control system to actively compensate for the entire disturbance. A robust stability condition for the control system and the parameters of the controller are derived using an indirect Lyapunov method. The presented method effectively rejects disturbances and handles modeling uncertainties without requiring prior knowledge of the disturbance. Comparison simulations on both numerical and practical examples demonstrate the effectiveness of the proposed method.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11626200, 61403149), Fujian Provincial Natural Science Foundation (Grant Nos. 2016J05165, 2015J01261), Promotion Program of Huaqiao University (Grant No. ZQN-PY408), Hubei Provincial Natural Science Foundation (Grant No. 2015CFA010), and 111 Project (Grant No. B17040).

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Authors and Affiliations

  1. School of Applied Mathematics, Xiamen University of Technology, Xiamen, 361024, China

    Ruijuan Liu

  2. School of Automation, China University of Geosciences, Wuhan, 430074, China

    Jinhua She & Min Wu

  3. School of Engineering, Tokyo University of Technology, Tokyo, 192-0982, Japan

    Jinhua She

  4. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan, 430074, China

    Jinhua She & Min Wu

  5. School of Information Science and Engineering, National Huaqiao University, Xiamen, 361021, China

    Fenfang Zhu & Zhuoyun Nie

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  1. Ruijuan Liu
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  2. Jinhua She
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  3. Min Wu
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  4. Fenfang Zhu
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  5. Zhuoyun Nie
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Correspondence to Ruijuan Liu.

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Liu, R., She, J., Wu, M. et al. Robust disturbance rejection for a fractional-order system based on equivalent-input-disturbance approach. Sci. China Inf. Sci. 61, 70222 (2018). https://doi.org/10.1007/s11432-017-9368-x

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  • DOI: https://doi.org/10.1007/s11432-017-9368-x

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