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Robust stability and stabilization of fractional-order linear systems with nonlinear uncertain parameters: An LMI approach

被引：27
|
作者：
Xing, Sheng Yan [1 ]
Lu, Jun Guo [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 02期
基金：
国家高技术研究发展计划(863计划);
关键词：
D O I：
10.1016/j.chaos.2009.03.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates the stability and stabilization problem of fractional-order linear systems with nonlinear uncertain parameters, which allow second-order uncertain parameters. The uncertainty in the fractional-order model appears in the form of a combination of additive uncertainty and multiplicative uncertainty. It is shown that the fractional-order model has a strong practical background. Sufficient conditions for the stability and stabilization of such fractional-order model are presented in terms of linear matrix inequalities. Two examples are given to show the effectiveness of the proposed results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1163 / 1169
页数：7
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