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Fractional-order adaptive fault-tolerant control for a class of general nonlinear systems

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Abstract

This paper proposes a series of fractional-order control methods (FOCMs) based on fractional calculus (FC) for a class of general nonlinear systems. In order to deal with the nonlinearities and uncertainties caused by both external and internal factors, the designed control schemes are adaptive, robust, fault-tolerant and do not involve detailed information of the system model. Besides, FC is combined to improve the control performance, especially in higher control accuracy, better anti-interference ability and stronger robustness. For a comprehensive consideration of the practical systems, three different actuator conditions are separately discussed, and the FOCMs are established aiming at these three different situations, respectively, and proved by theoretical analysis. The inverted pendulum system is adopted as simulation object, and the fractional-order schemes are verified and compared with integer-order controller and traditional PID controller. Simulation results make it clear that the proposed FOCMs are superior to other two schemes in control precision, robustness and anti-interference ability.

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Funding

This work is supported by National Natural Science Foundation of China under Grant 61503021, the National Key R&D Program of China (2016YFB1200602-26), the Talent Fund (No.2015RC048) and the State Key Laboratory Program (No.RCS2015ZT003 and RCS2017ZT007).

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Authors and Affiliations

  1. The State Key Lab of Rail Traffic Control and Safety, and the School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Xinrui Hu, Qi Song & Meng Ge

  2. The School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Runmei Li

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  1. Xinrui Hu
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  2. Qi Song
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  3. Meng Ge
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  4. Runmei Li
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Correspondence to Qi Song.

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Hu, X., Song, Q., Ge, M. et al. Fractional-order adaptive fault-tolerant control for a class of general nonlinear systems. Nonlinear Dyn 101, 379–392 (2020). https://doi.org/10.1007/s11071-020-05768-3

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