Dynamic Output Feedback Stabilization of Singular Fractional-Order Systems

الملخص EN

This paper is concerned with dynamic output feedback controller (DOFC) design problem for singular fractional-order systems with the fractional-order α satisfying 0<α<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.