Dynamic output feedback stabilization of singular fractional-order systems
Summary: This paper is concerned with dynamic output feedback controller (DOFC) design problem for singular fractional-order systems with the fractional-order \(\alpha\) satisfying \(0 < \alpha < 2\). Based on the stability theory of fractional-order system, sufficient and necessary conditions are derived for the admissibility of the systems, which are more convenient to analytical design of stabilizing controllers than the existing results. A full-order DOFC is then synthesized based on the obtained conditions and the characteristics of Moore-Penrose inverse. Finally, a numerical example is presented to show the effectiveness of the proposed methods.
scientific article; zbMATH DE number 6953837