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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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