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$\mathscr{H}_{\infty}$ Static Output Feedback Controller Design for Singular Fractional-Order Systems

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Abstract

This paper investigates the problem of static output feedback H∞ control for singular continuous-time fractional-order systems with the fractional-order derivative α belonging to 1 ≤ α < 2. All required conditions in this paper are characterized in the form of strict linear matrix inequalities whose feasible solutions can be obtained easily and directly. Finally, some numerical examples are provided to illustrate the effectiveness of the obtained theoretical results in the paper.
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Dates and versions

hal-03774619 , version 1 (11-09-2022)

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Saliha Marir, Mohammed Chadli, Michael Basin. $\mathscr{H}_{\infty}$ Static Output Feedback Controller Design for Singular Fractional-Order Systems. 20th European Control Conference (ECC 2022), Jul 2022, London, United Kingdom. pp.118--123, ⟨10.23919/ECC55457.2022.9838112⟩. ⟨hal-03774619⟩
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