LINEAR MATRIX INEQUALITIES IN ROBUSTNESS ANALYSIS WITH MULTIPLIERS

被引：41
作者：
BALAKRISHNAN, V
机构：
[1] School of Electrical Engineering, Purdue University, West Lafayette
来源：
SYSTEMS & CONTROL LETTERS | 1995年 / 25卷 / 04期
基金：
美国国家科学基金会;
关键词：
ROBUSTNESS ANALYSIS; PASSIVITY THEOREM; MULTIPLIERS; CONVEX OPTIMIZATION; LINEAR MATRIX INEQUALITIES;
D O I：
10.1016/0167-6911(94)00087-C
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We show that a number of standard robustness tests can be reinterpreted as special cases of the application of the passivity theorem with the appropriate choice of multipliers. We show how these tests can be performed using convex optimization over linear matrix inequalities.
引用
收藏
页码：265 / 272
页数：8
相关论文
共 13 条
[1]  
Anderson B. D. O., 1973, NETWORK ANAL SYNTHES
[2]   SMALL-GAIN THEOREM, PASSIVITY THEOREM AND THEIR EQUIVALENCE [J].
ANDERSON, BD .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1972, 293 (02) :105-+
[3]  
BALAKRISHNAN V, 1994, RECENT ADV CONTROL U, P1228
[4]  
BOYD S, 1994, STUDIES APPLIED MATH, V15
[5]  
Desoer CA., 1975, FEEDBACK SYSTEMS INP
[6]   ANALYSIS OF FEEDBACK-SYSTEMS WITH STRUCTURED UNCERTAINTIES [J].
DOYLE, J .
IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1982, 129 (06) :242-250
[7]  
Doyle J, 1991, 30TH P IEEE C DEC CO, P1227
[8]   ROBUSTNESS IN THE PRESENCE OF MIXED PARAMETRIC UNCERTAINTY AND UNMODELED DYNAMICS [J].
FAN, MKH ;
TITS, AL ;
DOYLE, JC .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (01) :25-38
[9]  
HOW JP, 1993, PROCEEDINGS OF THE 1993 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P1084
[10]  
NESTEROV Y, 1994, STUDIES APPLIED MATH, V13
12