Fractional controller based on a robust PIα observer for uncertain fractional systems

In this paper, we present a fractional sliding mode controller based on a robust observer for fractional systems with bounded disturbances. This controller is introduced to achieve closed-loop Mittag-Leffler stability for uncertain fractional systems; meanwhile, the robust observer is designed such...

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Bibliographic Details
Published inInternational journal of systems science Vol. 50; no. 4; pp. 829 - 842
Main Authors Trejo-Zúñiga, Iván, Delfín-Prieto, Sergio M., Martínez-Guerra, Rafael
Format Journal Article
LanguageEnglish
Published Taylor & Francis 12.03.2019
Subjects
chattering reduction
differentiator
Fractional sliding mode controller
fractional systems
observer
robust
stability analysis
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Summary:In this paper, we present a fractional sliding mode controller based on a robust observer for fractional systems with bounded disturbances. This controller is introduced to achieve closed-loop Mittag-Leffler stability for uncertain fractional systems; meanwhile, the robust observer is designed such that a stability is obtained via quadratic Lyapunov functions and the tuning is achieved with linear matrix inequality approach. The performance and stability of the proposed controller are analysed and demonstrated through a generalised -differentiator. Finally, to illustrate the effectiveness of the proposed approach a comparative analysis against the fractional Super-Twisting is carried out.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2019.1574043