Unknown Input Observer Scheme for a Class of Nonlinear Generalized Proportional Fractional Order Systems

In this study, an unknown input observer is proposed for a class of nonlinear GPFOSs. For this class of systems, both full-order and reduced-order observers have been established. The investigated system satisfies the one-sided Lipschitz nonlinear condition, which is an improvement of the classic Li...

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Bibliographic Details
Published in:Symmetry (Basel) 2023-06, Vol.15 (6), p.1233
Main Authors: Alsharif, Ali Omar M., Jmal, Assaad, Naifar, Omar, Ben Makhlouf, Abdellatif, Rhaima, Mohamed, Mchiri, Lassaad
Format: Article
Language:English
Subjects:
Control theory
Dynamic stability
GPFOSs
Lipschitz condition
Mittag–Leffler stability
Observers
one-sided Lipschitz nonlinear system
unknown input observer
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Summary:In this study, an unknown input observer is proposed for a class of nonlinear GPFOSs. For this class of systems, both full-order and reduced-order observers have been established. The investigated system satisfies the one-sided Lipschitz nonlinear condition, which is an improvement of the classic Lipschitz condition. Sufficient conditions have been proposed to ensure the error dynamics’ Mittag–Leffler stability. The value of this work lies in the fact that, to the best of the authors’ knowledge, this is the first research work that investigates the issue of Observer Design (OD) for GPFOSs. To exemplify the usefulness of the suggested observers, an illustrative numerical example is suggested.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym15061233