$$\mathcal {H}_{\infty }$$ Control for Singular Fractional-Order Systems
Résumé
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.