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Article Dans Une Revue IET Control Theory and Applications Année : 2018

Large-scale fractional-order systems: stability analysis and their decentralized functional observers design

Résumé

This study concerns the stability analysis of linear large-scale fractional-order systems and its functional observers design. First, based on the diffusive representation of the fractional-order derivative and the indirect Lyapunov approach, the stability of large-scale fractional-order interconnected systems is studied. Then, a sufficient stability condition of such systems is given in linear matrix inequality (LMI) formulation. In the second part of this work, the existence conditions of functional decentralised observers for this class of systems are given, and the asymptotic stability of estimation errors is investigated. The observers gains matrices are derived by solving the obtained LMI. Numerical examples are given to illustrate the validity of the proposed approach.
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Dates et versions

hal-01658007 , version 1 (07-12-2017)

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Yassine Boukal, Mohamed Darouach, Michel Zasadzinski, Nour-Eddine Radhy. Large-scale fractional-order systems: stability analysis and their decentralized functional observers design. IET Control Theory and Applications, 2018, 12 (3), pp.359-367. ⟨10.1049/iet-cta.2017.0264⟩. ⟨hal-01658007⟩
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