DELAY-RANGE-DEPENDENT BOUNDED REAL LEMMA FOR TIME-DELAY SYSTEMS

被引：3
|
作者：
Li, Tao [1 ,2 ]
Guo, Lei [2 ,3 ]
Lin, Chong [4 ]
Zhang, Yuming [4 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Dept Informat & Commun, Nanjing 210044, Peoples R China
[2] Southeast Univ, Res Inst Automat, Nanjing 210096, Peoples R China
[3] Beihang Univ, Sch Instrument Sci & Optoelect Engn, Beijing 100083, Peoples R China
[4] Qingdao Univ, Coll Automat Engn, Inst Complex Sci, Qingdao 266071, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2008年 / 10卷 / 06期
基金：
美国国家科学基金会;
关键词：
Delay-range-dependent; uncertain; bounded real lemma; linear fractional form; linear matrix inequality;
D O I：
10.1002/asjc.71
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, Bounded Real Lemma (BRL) for linear systems with time-varying delay in a range is described. Unlike previous results, the low bound of the range is not restricted to be 0. Based on a new Lyapunov-Krasovskii functional, a del ay-range-dependent BRL is obtained in term of linear matrix inequality. It is shown that this new BRL can provide less conservative results than some existing ones. When time-varying linear fractional form uncertainties appear in the delay system, a robust del ay-range-dependent BRL is also given. Numerical examples are given to demonstrate the applicability of the proposed approach.
引用
收藏
页码：708 / 717
页数：10
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