Robust stability bounds of uncertain fractional-order systems

被引：0
作者：
YingDong Ma
Jun-Guo Lu
WeiDong Chen
YangQuan Chen
机构：
[1] Shanghai Jiao Tong University and Key Laboratory of System Control and Information Processing Ministry of Education of China,Department of Automation
[2] School of Engineering,Mechatronics, Embedded Systems and Automation (MESA) Lab
[3] University of California,undefined
来源：
Fractional Calculus and Applied Analysis | 2014年 / 17卷
关键词：
fractional-order system; linear matrix inequality; robust stability bound; uncertainty; Primary 26A33; Secondary 34A08, 34D10, 93C73, 93D09, 93D21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers the robust stability bound problem of uncertain fractional-order systems. The system considered is subject either to a two-norm bounded uncertainty or to a infinity-norm bounded uncertainty. The robust stability bounds on the uncertainties are derived. The fact that these bounds are not exceeded guarantees that the asymptotical stability of the uncertain fractional-order systems is preserved when the nominal fractional-order systems are already asymptotically stable. Simulation examples are given to demonstrate the effectiveness of the proposed theoretical results.
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页码：136 / 153
页数：17
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