Adaptive robust control of fractional-order systems with matched and mismatched disturbances

This paper proposes an adaptive control method for the robust stabilization of a general class of fractional-order systems, which are subject to matched and mismatched disturbances. The control design is based on a nominal linear-time-invariant system, and the deviation from such a model is consider...

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Bibliographic Details
Published in:Mathematics and computers in simulation 2019-08, Vol.162, p.85-96
Main Authors: Muñoz-Vázquez, Aldo Jonathan, Ortiz-Moctezuma, Manuel Benjamín, Sánchez-Orta, Anand, Parra-Vega, Vicente
Format: Article
Language:English
Subjects:
Adaptive control
Disturbance rejection
Fractional-order systems
Identification
Mittag-Leffler stability
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Summary:This paper proposes an adaptive control method for the robust stabilization of a general class of fractional-order systems, which are subject to matched and mismatched disturbances. The control design is based on a nominal linear-time-invariant system, and the deviation from such a model is considered as the disturbance, which is decoupled as the sum of a matched and a mismatched disturbance. The controller is proposed as the combination of an adaptive robust controller that compensates for the matched disturbance, and a nominal controller that is based on a linear matrix inequality, in order to enforce the Mittag-Leffler stability of the pseudo-state, even in the presence of the mismatched disturbance. Numerical simulations are conducted to show the reliability of the proposed scheme.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2019.01.008