A POPOV CRITERION FOR UNCERTAIN LINEAR-MULTIVARIABLE SYSTEMS

被引：16
|
作者：
BERNSTEIN, DS [1 ]
HADDAD, WM [1 ]
SPARKS, AG [1 ]
机构：
[1] GEORGIA INST TECHNOL,SCH AEROSP ENGN,ATLANTA,GA 30332
来源：
AUTOMATICA | 1995年 / 31卷 / 07期
基金：
美国国家科学基金会;
关键词：
POPOV CRITERION; UNCERTAIN DYNAMIC SYSTEMS; ROBUST STABILITY; STRUCTURED SINGULAR VALUE;
D O I：
10.1016/0005-1098(95)00025-R
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The Popov absolute stability criterion is traditionally proved using a Lyapunov function and the positive real lemma. In this paper a simplified proof of the multivariable Popov criterion is given for the case of one-sided, sector-bounded real parameter uncertainty. A loop-shifting transformation is then used to extend the Popov criterion to two-sided, sector-bounded uncertain matrices. Specialization of this result to norm-bounded uncertain matrices leads to an upper bound for the structured singular value for block-structured, real parameter uncertainty.
引用
收藏
页码：1061 / 1064
页数：4
相关论文
共 50 条
12345