Linear matrix inequality stability conditions from a parameter-dependent Lyapunov functional for linear systems with a time-varying delay

被引:2
|
作者
Fong, I-K [1 ]
Lin, C-P [1 ]
Huang, J-S [1 ]
机构
[1] Natl Taiwan Univ, Dept Elect Engn, Taipei 10617, Taiwan
关键词
time delay systems; stability; linear matrix inequality; dc motor control; H-INFINITY CONTROL; ROBUST STABILITY; CRITERIA;
D O I
10.1243/09596518JSCE875
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 paper proposes new stability conditions for linear systems with a time-varying state delay. The time-varying delay is treated as a polytopic uncertainty parameter, and a Lyapunov functional that is dependent on the delay parameter is constructed. Linear matrix inequality conditions of system stability and robust stability are derived. Numerical and practical examples are given to show the effectiveness and non-conservativeness of the proposed conditions.
引用
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页码:701 / 712
页数:12
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