Robust stability criteria for uncertain fractional order systems with time delay

被引：0
|
作者：
Wei, Yi-Heng [1 ]
Zhu, Min [1 ]
Peng, Cheng [1 ]
Wang, Yong [1 ]
机构：
[1] Department of Automation, University of Science and Technology of China, Hefei 230027, China
来源：
Kongzhi yu Juece/Control and Decision | 2014年 / 29卷 / 03期
关键词：
Robustness (control systems) - Algebra - Time varying control systems - Time delay - Numerical methods - System stability;
D O I：
10.13195/j.kzyjc.2012.1677
中图分类号：
学科分类号：
摘要：
Based on model approximation, the problem of stability analysis for uncertain fractional order systems with time-varying delay is proposed. Firstly, a rational approximation method is introduced for fractional order systems. Based on the above method, the fractional order systems are transformed into the integer order systems whose uncertainties are approximation error. Afterwards, integral inequality approach is used to analyze the stability of the approximation system, obtaining a robust stability criteria denoted by LMI. Theoretic proof and numerical examples are provided to illustrate the effectiveness and the availability of the proposed method.
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页码：511 / 516
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