The robust control for a class of disturbed fractional-order systems is presented in this paper. The proposed controller considers a dynamic observer to exactly compensate for matched disturbances in finite time, and a procedure to compensate for unmatched disturbances is then derived. The proposed disturbance observer is built upon continuous fractional sliding modes, producing a fractional-order reaching phase, leading to a continuous control signal, yet able to reject for some continuous but not necessarily differentiable disturbances. Numerical simulations and comparisons are presented to highlight the reliability of the proposed scheme.
Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 31, 2018; final manuscript received April 30, 2018; published online May 30, 2018. Assoc. Editor: Zaihua Wang.
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Muñoz-Vázquez, A. J., Parra-Vega, V., and Sánchez-Orta, A. (May 30, 2018). "Fractional-Order Nonlinear Disturbance Observer Based Control of Fractional-Order Systems." ASME. J. Comput. Nonlinear Dynam. July 2018; 13(7): 071007. https://doi.org/10.1115/1.4040129
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