LMI-Based Robust Stability Analysis of Discrete-Time Fractional-Order Systems With Interval Uncertainties

被引：19
|
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：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2021年 / 68卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Uncertainty; Robust stability; Numerical stability; Circuit stability; Stability criteria; Mathematical model; Eigenvalues and eigenfunctions; Discrete-time; fractional-order system; robust stability; linear matrix inequality; matrix root-clustering; LINEAR-SYSTEMS; STABILIZATION; FRAMEWORK;
D O I：
10.1109/TCSI.2021.3053701
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Robust stability problem of discrete-time fractional-order systems (DTFOSs) with interval uncertainties is investigated in this paper. Firstly, a new theorem for matrix root-clustering in union-region is established. Based on this theorem, the stability regions of DTFOSs are described as the union-region of closed sub-regions, and sufficient conditions for stability of DTFOSs are presented. Then, new sufficient conditions for robust stability of DTFOSs with interval uncertainties are derived. All the results are obtained in terms of linear matrix inequalities (LMIs) which are more tractable than the existing ones. Finally, numerical examples are given to show that our results are valid and less conservative than the existing ones.
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页码：1671 / 1680
页数：10
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