Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach

被引：270
|
作者：
Lu, Jun-Guo [1 ]
Chen, Guanrong [2 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 06期
基金：
国家高技术研究发展计划(863计划); 中国国家自然科学基金;
关键词：
Fractional-order system; interval system; linear matrix inequality (LMI); robust stability; robust stabilization; ALGORITHM;
D O I：
10.1109/TAC.2009.2013056
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This technical note presents necessary and sufficient conditions for the stability and stabilization of fractional-order interval systems. The results are obtained in terms of linear matrix inequalities. Two illustrative examples are given to show that our results are effective and less conservative for checking the robust stability and designing the stabilizing controller for fractional-order interval systems.
引用
收藏
页码：1294 / 1299
页数：6
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