Robust stability for fractional-order systems with structured and unstructured uncertainties

被引：35
|
作者：
Jiao, Zhuang [1 ,2 ]
Zhong, Yisheng [3 ]
机构：
[1] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
[2] Utah State Univ, CSOIS, Dept Elect & Comp Engn, Logan, UT 84322 USA
[3] Tsinghua Univ, Tsinghua Natl Lab Informat Sci & Technol, Beijing 100084, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2012年 / 64卷 / 10期
关键词：
Fractional-order system; Robust stability; Polytope-type uncertainty; Norm-bounded uncertainty; REPRESENTATION;
D O I：
10.1016/j.camwa.2012.03.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The issues of robust stability for uncertain fractional-order systems of two types of order alpha is an element of (0, 1) are dealt with in this paper. For the polytope-type uncertainty case, a less conservative sufficient condition for robust stability is given; for the norm-bounded uncertainty case, a sufficient and necessary condition for robust stability is presented. Both of these conditions can be checked by solving sets of linear matrix inequalities. Two numerical examples are presented to confirm the proposed conditions. Crown Copyright (C) 2012 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：3258 / 3266
页数：9
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