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As pointed out in Chap. 4 , considerable efforts have been devoted to stabilization for fractional-order systems. Over the last years singular values have been developed as a tool to deal with this problem. In general terms, the controller should be chosen so that the closed-loop transfer function matrix has certain characteristics that are derived from the specifications. An optimal design minimizes the maximum singular value of the desired loop shape, subject to a closed-loop stability constraint.

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\(\mathcal {H}_{\infty }\) Control for Singular Fractional-Order Systems

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  • 发表日期：

    2025年

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  • Saliha Marir,
  • Mohammed Chadli

摘要

As pointed out in Chap. 4 , considerable efforts have been devoted to stabilization for fractional-order systems. Over the last years singular values have been developed as a tool to deal with this problem. In general terms, the controller should be chosen so that the closed-loop transfer function matrix has certain characteristics that are derived from the specifications. An optimal design minimizes the maximum singular value of the desired loop shape, subject to a closed-loop stability constraint.