Stability Analysis and Control of Lur'e Singularly Perturbed Uncertain Systems

被引：0
|
作者：
Zhang, Yan [1 ]
Naidu, D. Subbaram [2 ]
Cai, Chenxiao [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
[2] Idaho State Univ, Pocatello, ID 83209 USA
来源：
2014 33RD CHINESE CONTROL CONFERENCE (CCC) | 2014年
关键词：
Singular perturbations; Lur'e system; Absolutely stability; Lyapunov theory; Linear matrix ineuqality; Feedback control; ABSOLUTE STABILITY; CRITERIA;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the absolute stability and feedback control problems of Lur'e singularly perturbed uncertain systems are investigated. An epsilon-dependent Lyapunov function is constructed. Using the Lyapunov theory and Linear Matrix Inequalities (LMIs) technique, the conditions of absolute stability of the system without disturbances are derived. Then, a method of designing feedback controller is developed which can guarantee the absolute stability of the Lur'e singularly perturbed uncertain systems. A numerical example is given to show the effectiveness of the criteria.
引用
收藏
页码：6090 / 6094
页数：5
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