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Fractional-order sliding-mode controller for semi-active vehicle MRD suspensions

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Abstract

Due to the complexly natural attributes of technical systems, reality has been shown that many systems could be modeled more precisely if they are modeled by using fractional calculus and fractional-order differential equations. Inspired by this advantage, in this work a fractional-order derivative-based sliding mode controller (FD-SMC) for magneto-rheological damper based on semi-active vehicle suspensions (MRD-SAVSs) is proposed to make the states of the given system asymptotically stable in the finite time. To show this assertion, a new estimate result for fractional differential inequality is presented to derive an FD-SMC law for the systems of MRD-SAVS. Then, this corresponding fractional-order sliding mode controller is designed to provide robustness, high performance control, finite time convergence in the presence of uncertainties and external disturbances. Finally, numerical simulation results are presented to demonstrate the effectiveness of the proposed control method.

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Acknowledgements

The authors are very grateful to the referees for their valuable suggestions, which helped to improve the paper significantly. The authors would like to thank the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under Grant number 107.01-2019.328

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Authors and Affiliations

  1. Division of Computational Mechatronics, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Sy Dzung Nguyen & Bao Danh Lam

  2. Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Sy Dzung Nguyen & Bao Danh Lam

  3. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Van Hoa Ngo

  4. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Van Hoa Ngo

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  1. Sy Dzung Nguyen
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  2. Bao Danh Lam
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Correspondence to Van Hoa Ngo.

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Nguyen, S.D., Lam, B.D. & Ngo, V.H. Fractional-order sliding-mode controller for semi-active vehicle MRD suspensions. Nonlinear Dyn 101, 795–821 (2020). https://doi.org/10.1007/s11071-020-05818-w

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