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Mathematical Problems in Engineering
Volume 2016, Article ID 9694780, 8 pages
Research Article

Dynamic Output Feedback Stabilization of Singular Fractional-Order Systems

1School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China
2School of Computer Science and Information Engineering, Shanghai Institute of Technology, Shanghai 201418, China

Received 11 November 2015; Revised 12 May 2016; Accepted 15 May 2016

Academic Editor: Asier Ibeas

Copyright © 2016 Yanchai Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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