QUADRATIC STABILIZABILITY OF UNCERTAIN SYSTEMS - A 2 LEVEL OPTIMIZATION SETUP

被引:20
作者
GU, KQ
CHEN, YH
ZOHDY, MA
LOH, NK
机构
[1] GEORGIA INST TECHNOL,GEORGE W WOODRUFF SCH MECH ENGN,ATLANTA,GA 30332
[2] OAKLAND UNIV,SCH ENGN & COMP SCI,CTR ROBOT & ADV AUTOMAT,ROCHESTER,MI 48063
关键词
ROBUST CONTROL; STABILITY; CONTROL SYSTEM DESIGN; CONVEX PROGRAMMING; OPTIMIZATION;
D O I
10.1016/0005-1098(91)90015-T
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 problem of stabilizing linear systems subject to possibly fast time varying uncertainties is investigated. Necessary and sufficient conditions of quadratic stabilizability are discussed. The design process is formulated as a two level optimization process, which can be simplified if the uncertainty is bounded by a hyperpolyhedron.
引用
收藏
页码:161 / 165
页数:5
相关论文
共 19 条
[2]   STABILIZATION OF UNCERTAIN SYSTEMS VIA LINEAR-CONTROL [J].
BARMISH, BR .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1983, 28 (08) :848-850
[3]   ON STABILITY WITH LARGE PARAMETER VARIATIONS - STEMMING FROM THE DIRECT METHOD OF LYAPUNOV [J].
ESLAMI, M ;
RUSSELL, DL .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1980, 25 (06) :1231-1234
[4]  
GU K, 1989, 28TH IEEE C DEC CONT
[5]   NECESSARY AND SUFFICIENT CONDITIONS OF QUADRATIC STABILITY OF UNCERTAIN LINEAR-SYSTEMS [J].
GU, KQ ;
ZOHDY, MA ;
LOH, NK .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (05) :601-604
[6]  
HOLLOT CV, 1980, 18TH P ALL C COMM CO
[7]   ROBUST STABILIZATION OF UNCERTAIN LINEAR-SYSTEMS - QUADRATIC STABILIZABILITY AND H INFINITY-CONTROL THEORY [J].
KHARGONEKAR, PP ;
PETERSEN, IR ;
ZHOU, KM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (03) :356-361
[8]  
Luenberger DG., 1968, OPTIMIZATION VECTOR
[9]   ROBUSTNESS OF LINEAR QUADRATIC STATE FEEDBACK DESIGNS IN PRESENCE OF SYSTEM UNCERTAINTY [J].
PATEL, RV ;
TODA, M ;
SRIDHAR, B .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (06) :945-949
[10]  
PATEL RV, 1980, P JOINT AUT CONTROL