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

Omar Naifar and Abdellatif Ben Makhlouf

Mathematical Problems in Engineering, 2021, vol. 2021, 1-6

Abstract:

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6699756

DOI: 10.1155/2021/6699756

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