Robust stability and stabilization of hybrid fractional-order multi-dimensional systems with interval uncertainties: An LMI approach

被引：32

作者：

Zhu, Zhen ^{[1
,2
]}

Lu, Jun-Guo ^{[1
,2
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China

[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 401卷

基金：

中国国家自然科学基金;

关键词：

Hybrid multi-dimensional systems; Fractional-order systems; Interval uncertainty; Linear matrix inequality; Robust stability; Robust stabilization; STATE; TESTS;

D O I：

10.1016/j.amc.2021.126075

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The hybrid fractional-order multi-dimensional (N-D) systems described by Roesser model are introduced in this paper. The N-D systems include discrete-time dimensions and fractional-order continuous-time dimensions with fractional-order 0 < alpha(i) < 1. Firstly, some novel sufficient stability conditions for nominal hybrid fractional-order N-D systems are presented. Then, against interval uncertainties, the sufficient conditions for robust stability and stabilization of hybrid fractional-order N-D systems are derived. All the results are in the form of linear matrix inequalities. Finally, illustrative examples are given to verify the validity of our results, and demonstrate that our results are less conservative than the existing ones. (C) 2021 Elsevier Inc. All rights reserved.Y

引用

页数：13

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