Stabilization for Singular Fractional-Order Systems via Static Output Feedback

作     者：Guo, Ying Lin, Chong Chen, Bing Wang, Qing-Guo 

作者机构：Qingdao Univ Inst Complex Sci Qingdao 266071 Peoples R China Zaozhuang Univ Sch Math & Stat Zaozhuang 277160 Peoples R China Univ Johannesburg Fac Engn & Built Environm Inst Intelligent Syst Johannesburg South Africa 

出 版 物：《IEEE ACCESS》 (IEEE Access)

年 卷 期：2018年第6卷

页      面：71678-71684页

核心收录：

基　　金：NSFC [61673227, 61873137, 61573204, 61803220] Natural Science Foundation of Shandong Province, China [ZR2016FM06] National Natural Science Foundation of South Africa Oppenheimer Memorial Trust 

主　　题：Singular fractional-order systems linear matrix inequality (LMI) static output feedback iterative algorithm 

摘      要：The stabilization problem of singular fractional-order systems with fractional commensurate order 0 alpha 2 via static output feedback is studied in this paper. For the 0 alpha 1 case, two methods for the static output feedback control design are provided. In the first method, the controller is designed without decomposing the system matrix, and less variables are within the second method. Furthermore, a method that is similar to the second method of the 0 alpha 1 case is provided for the 1 = alpha 2 case. The controller 6 parameters are computed by solving matrix inequalities, and efficient iterative algorithms are built to solve the resultant matrix inequalities. Numerical examples are provided to show the effectiveness of the proposed results.