Robust Mittag‐Leffler stabilisation of fractional‐order systems

Dynamic models approximate physical phenomena to certain extent and ideal controllers are proposed. Nevertheless, when system specifications crave for better performance, additional robust controllers are considered. In this sense, a robust controller is proposed in this paper, which accounts for a...

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Published inAsian journal of control Vol. 22; no. 6; pp. 2273 - 2281
Main Authors Muñoz‐Vázquez, Aldo Jonathan, Parra‐Vega, Vicente, Sánchez‐Orta, Anand, Martínez‐Reyes, Fernando
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc 01.11.2020
Subjects
Controllers
disturbance rejection
Dynamic models
fractional‐order systems
Mittag‐Leffler stability
Robust control
robust nonlinear control
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Summary:Dynamic models approximate physical phenomena to certain extent and ideal controllers are proposed. Nevertheless, when system specifications crave for better performance, additional robust controllers are considered. In this sense, a robust controller is proposed in this paper, which accounts for a general class of fractional‐order systems, in order to compensate for matched and mismatched disturbances. The Mittag‐Leffler stability of the solution of the closed‐loop system is demonstrated for a class of fractional‐order systems subject to non‐smooth effects and control feedback. Numerical simulations are conducted to highlight the reliability of the proposed scheme.
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ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2195