Dynamic Output Feedback Stabilization of Singular Fractional-Order Systems. (15th June 2016)

• Record Type: Journal Article
• Authors: Liu, Yanchai; Cui, Liu; Duan, Dengping
• Other Names: Ibeas Asier Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-06-15
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/9694780
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper is concerned with dynamic output feedback controller (DOFC) design problem for singular fractional-order systems with the fractional-orderα satisfying0 < 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.