Bounded real lemma and H∞ control for descriptor systems

被引：95
作者：
Wang, HS [1 ]
Yung, CF
Chang, FR
机构：
[1] Natl Taiwan Ocean Univ, Dept Elect Engn, Chilung, Taiwan
[2] Natl Taiwan Univ, Dept Elect Engn, Taipei 10764, Taiwan
来源：
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 1998年 / 145卷 / 03期
关键词：
descriptor systems; bounded real lemma; H(infinity) control; generalised algebraic Riccati equations;
D O I：
10.1049/ip-cta:19982048
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 H(infinity) control problem for descriptor systems is studied. Necessary and sufficient conditions are derived for the solution to this problem, expressed in terms of two generalised algebraic Riccati equations which may be considered to be the generalisations of the Riccati equations obtained by Doyle et al, (1989). When these conditions hold. state space formulae for a controller solving the problem is also given. The approach used in this paper is based on a generalised version of bounded real lemma, thus the proofs given are simple.
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页码：316 / 322
页数：7
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