LMI Criteria for Admissibility and Robust Stabilization of Singular Fractional-Order Systems Possessing Poly-Topic Uncertainties

被引：7
作者：
Zhang, Xuefeng [1 ]
Dong, Jia [1 ]
机构：
[1] Northeastern Univ, Sch Sci, Shenyang 110819, Peoples R China
来源：
FRACTAL AND FRACTIONAL | 2020年 / 4卷 / 04期
关键词：
fractional-order systems; stability criteria; admissibility; robust stabilization; linear matrix inequalities (LMIs); LINEAR-SYSTEMS; STABILITY;
D O I：
10.3390/fractalfract4040058
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The issue of robust admissibility and control for singular fractional-order systems (FOSs) with polytopic uncertainties is investigated in this paper. Firstly, a new method based on linear matrix inequalities (LMIs) is presented to solve the admissibility problems of uncertain linear systems. Then, a solid criterion of robust admissibility and a corresponding state feedback controller are derived, which overcome the conservatism of the existing results. Finally, for the sake of demonstrating the validity of proposed results, some relevant examples are provided.
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页码：1 / 11
页数：11
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