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

Aldo Jonathan Muñoz-Vázquez, Manuel Benjamín Ortiz-Moctezuma, Anand Sánchez-Orta and Vicente Parra-Vega

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 162, issue C, 85-96

Abstract: 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.

Keywords: Adaptive control; Fractional-order systems; Mittag-Leffler stability; Disturbance rejection; Identification (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:162:y:2019:i:c:p:85-96

DOI: 10.1016/j.matcom.2019.01.008

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