title: Stabilization of fractional-order singular uncertain systems.
abstract: This paper focuses on the state and static output feedback stabilization for fractional-order singular (FOS) uncertain linear systems with the fractional commensurate order 0<α<1, respectively. The objective is to design suitable feedback controllers that guarantee the stability of resulting closed-loop control systems. First, the sufficient conditions for robust asymptotical stability of the closed-loop control systems are presented. Next, based on the matrix׳s singular value decomposition (SVD) and linear matrix inequality (LMI) technics, some new results in the form of LMI are developed to the state and static output feedback controller synthesis for the FOS systems. Finally, three numerical examples are given to illustrate the effectiveness of the proposed design methods.
authors.affiliation: College of Mathematics and Science of Information, Hebei Normal University, Shijiazhuang, 050024 Hebei, PR China; College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018 Hebei, PR China. Electronic address: jiyude-1980@163.com.
authors.forename: Yude
authors.initials: Y
authors.lastname: Ji
authors.affiliation: College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018 Hebei, PR China. Electronic address: qiujiqing@263.net.
authors.forename: Jiqing
authors.initials: J
authors.lastname: Qiu
keywords: Feedback controller; Fractional-order systems; Linear matrix inequality (LMI)