Lyapunov inequality and bounded real lemma for discrete-time descriptor systems

被引：70

作者：

Hsiung, KL ^{[1
]}

Lee, L

机构：

[1] Natl Tsing Hua Univ, Inst Math, Hsinchu 300, Taiwan

[2] Natl Sun Yat Sen Univ, Dept Elect Engn, Kaohsiung 804, Taiwan

来源：

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 1999年 / 146卷 / 04期

关键词：

D O I：

10.1049/ip-cta:19990451

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A generalised Lyapunov inequality is described which can be reformulated as nonstrict LMIs, for the check of regularity, impulse immunity, and stability of discrete-time descriptor systems simultaneously. Based on this inequality, a bounded real lemma in nonstrict LMIs is obtained which characterises properties of such descriptor systems, including regularity, impulse free property, stability, and H(infinity) norm bound condition. The proofs are purely algebraic, therefore they are simple and definite. These results could play a key role in the LMI-based H(infinity) controller design for discrete-time descriptor systems.

引用

页码：327 / 331

页数：5

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