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

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  • Omar Naifar
  • Abdellatif Ben Makhlouf

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.

Suggested Citation

  • Omar Naifar & Abdellatif Ben Makhlouf, 2021. "On the Stabilization and Observer Design of Polytopic Perturbed Linear Fractional-Order Systems," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-6, March.
    • Handle: RePEc:hin:jnlmpe:6699756
    DOI: 10.1155/2021/6699756
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    Cited by:

    1. Zaineb Yakoub & Omar Naifar & Dmitriy Ivanov, 2022. "Unbiased Identification of Fractional Order System with Unknown Time-Delay Using Bias Compensation Method," Mathematics, MDPI, vol. 10(16), pages 1-19, August.
    2. Tabatabaei, S. Sepehr & Dehghan, Mohammad Reza & Talebi, Heidar Ali, 2022. "Real-time prediction of soft tissue deformation; a non-integer order modeling scheme and a practical verification for the theoretical concept," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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