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Adaptive backstepping output feedback control for a class of nonlinear fractional order systems

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Abstract

This article presents a novel fractional order adaptive backstepping output feedback control scheme for nonlinear fractional order systems. The needed feedback information is constructed via a state estimation filter. To improve the control performance, tracking differentiators, nonlinear elements and fractional order update laws were introduced and applied to the control systems. With the aids of this frequency distribute model and the indirect Lyapunov method, the stability and the tracking convergence of the resulting closed-loop system were established. A careful simulation study was provided to illustrate the effectiveness of this novel scheme.

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Acknowledgments

The authors would like to thank the Associate Editor and the anonymous reviewers for their keen and insightful comments which greatly improved the contents and the presentation of this article significantly. The work described in this paper was fully supported by the Research Grants Council (Project No. CityU 11201315), the Innovation and Technology Commission (ITC) (Project No. ITS/061/14FP) of the Government of the Hong Kong Special Administrative Region (HKSAR), China, the National Natural Science Foundation of China (Project No. 61573332) and the Fundamental Research Funds for the Central Universities (Project No. WK2100100028). Any opinions, findings, conclusions or recommendations expressed in this material/event (or by members of the project team) do not reflect the views of the Government of the HKSAR, the ITC or the Panel of Assessors for the Innovation and Technology Support Program of the Innovation and Technology Fund.

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Authors and Affiliations

  1. Department of Automation, University of Science and Technology of China, Hefei, 230026, China

    Yiheng Wei & Yong Wang

  2. Department of Systems Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Hong Kong, China

    Peter W. Tse

  3. Mechanical and Electrical Engineering College, Changchun University of Science and Technology, Changchun, 130022, China

    Zhao Yao

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  1. Yiheng Wei
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  2. Peter W. Tse
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  3. Zhao Yao
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  4. Yong Wang
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Correspondence to Peter W. Tse.

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Wei, Y., Tse, P.W., Yao, Z. et al. Adaptive backstepping output feedback control for a class of nonlinear fractional order systems. Nonlinear Dyn 86, 1047–1056 (2016). https://doi.org/10.1007/s11071-016-2945-4

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  • DOI: https://doi.org/10.1007/s11071-016-2945-4

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