Robust stabilization of descriptor fractional-order interval systems with uncertain derivative matrices

被引：6
|
作者：
Di, Ying [1 ]
Zhang, Jin-Xi [2 ]
Zhang, Xuefeng [1 ]
机构：
[1] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China
[2] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 453卷
基金：
中国国家自然科学基金;
关键词：
Descriptor fractional-order systems; Interval systems; Robust stabilization; Linear matrix inequality; Admissibility; STABILITY; FEEDBACK; ADMISSIBILITY;
D O I：
10.1016/j.amc.2023.128076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the admissibility of descriptor fractional-order interval systems (DFOISs) with order alpha belonging to (0,2). Firstly, the necessary and sufficient conditions of admissibility for descriptor fractional-order systems (DFOSs) are given in terms of linear matrix inequalities (LMI) which differ from the existing literature. Secondly, for the deriva-tive matrix with interval uncertainties, the criteria of quadratic admissibility for DFOISs are derived by projection lemma. Thirdly, both the state and derivative feedback controllers of DFOISs with interval uncertainties in all matrices are obtained directly without normal-ization. Finally, three numerical examples are presented to verify the effectiveness of pro-posed results. (c) 2023 Elsevier Inc. All rights reserved.
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页数：14
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