On the Stabilization and Observer Design of Polytopic Perturbed Linear Fractional-Order Systems | Zendy

Omar Naifar | Zendy; Abdellatif Ben Makhlouf | Zendy

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On the Stabilization and Observer Design of Polytopic Perturbed Linear Fractional-Order Systems

Author(s) -

Omar Naifar,

Abdellatif Ben Makhlouf

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6699756

Subject(s) - control theory (sociology) , observer (physics) , mathematics , stability (learning theory) , state (computer science) , lyapunov function , state observer , order (exchange) , computer science , nonlinear system , control (management) , algorithm , physics , finance , quantum mechanics , artificial intelligence , machine learning , economics

In this paper, the problem of stabilization and observer design of parameter-dependent perturbed fractional-order systems is investigated. Sufficient conditions on the practical Mittag–Leffler and Mittag–Leffler stability are given based on the Lyapunov technique. Firstly, the problem of stabilization using the state feedback is developed. Secondly, under some sufficient hypotheses, an observer design which provides an estimation of the state is constructed. Finally, numerical examples are provided to validate the contributed results.

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