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

页码：1061 / 1064

页数：4

共 9 条

[1]

Chiang R. Y., 1992, Proceedings of the 1992 American Control Conference (IEEE Cat. No.92CH3072-6), P2417

[2]

DOYLE JC, 1985, 24TH P IEEE C DEC CO, P260

[3]

HADDAD WM, 1991, PROCEEDINGS OF THE 30TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, P2274, DOI 10.1109/CDC.1991.261555

[4]

HADDAD WM, 1992, 31ST P IEEE C DEC CO, P2813

[5]

HOW JP, 1993, PROCEEDINGS OF THE 1993 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P1084

[6]

Hsu J.C., 1968, MODERN CONTROL PRINC

[7]

Khalil H.K., 1992, NONLINEAR SYSTEMS

[8]

VIDYASAGAR M, 1993, NONLINEAR SYSTEMS AN

[9]

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