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Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems

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Abstract

The active disturbance rejection control (AD RC), first proposed by Jingqing Han in late 1980s, is a powerful control technology being able to deal with external disturbances and internal uncertainties in large scale for control systems in engineering applications. This survey paper will articulate, from a theoretical perspective, the origin, ideology and progress of ADRC for not only uncertain finite-dimensional systems but also uncertain infinite-dimensional ones. Some recent theoretical developments, general framework and unsolved problems of ADRC for finite-dimensional systems with mismatched disturbances and uncertainties by output feedback, uncertain finite-dimensional stochastic systems, uncertain infinite-dimensional systems described by both the wave equation and the fractional-order partial differential equation are successively addressed, from which we see the challenges and opportunities for this remarkable emerging control technology to various types of control systems.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 61903087, 61803386, 61873260, 61733008 and 11801077) and the Natural Science Foundation of Guangdong Province (Grant Nos. 2018A030310357 and 2018A1660005).

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Authors and Affiliations

  1. School of Mathematics and Big Data, Foshan University, Foshan, 528000, China

    Ze-Hao Wu

  2. School of Mathematics and Statistics, Central South University, Changsha, 410075, China

    Hua-Cheng Zhou

  3. School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China

    Bao-Zhu Guo

  4. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Bao-Zhu Guo

  5. Systems Engineering Institute, South China University of Technology, Guangzhou, 510640, China

    Feiqi Deng

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  1. Ze-Hao Wu
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  2. Hua-Cheng Zhou
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  3. Bao-Zhu Guo
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  4. Feiqi Deng
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Wu, ZH., Zhou, HC., Guo, BZ. et al. Review and new theoretical perspectives on active disturbance rejection control for uncertain finite-dimensional and infinite-dimensional systems. Nonlinear Dyn 101, 935–959 (2020). https://doi.org/10.1007/s11071-020-05845-7

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