CONVERGENCE RATE FOR AN APPROXIMATION APPROACH TO H-INFINITY-NORM OPTIMIZATION PROBLEMS WITH AN APPLICATION TO CONTROLLER ORDER REDUCTION

被引：3

作者：

LIU, Y ^{[1
]}

TEO, KL ^{[1
]}

机构：

[1] UNIV WESTERN AUSTRALIA,DEPT MATH,NEDLANDS,WA 6009,AUSTRALIA

来源：

AUTOMATICA | 1992年 / 28卷 / 03期

基金：

澳大利亚研究理事会;

关键词：

APPROXIMATION THEORY; CONVERGENCE ANALYSIS; OPTIMIZATION; COMPUTATIONAL METHODS; MODEL REDUCTION; CONTROLLER;

D O I：

10.1016/0005-1098(92)90187-K

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In a recent paper by Fisher et al. (1989, A constrained H(infinity) smooth optimization technique. Proc. 28th CDC, Florida, U.S.A.), a smooth approximation technique is proposed to solve a general class of constrained H(infinity)-norm optimization problems. The aim of this paper is to show that such approximation has a convergence rate of O(ln p/2p). Furthermore, this technique is applied to handle a general class of frequency weighted controller order reduction problems.

引用

页码：617 / 621

页数：5

共 46 条

[1] Approximation in H-infinity-norm
Schipp, F
Szili, L
APPROXIMATION THEORY AND FUNCTION SERIES, 1996, 5 : 307 - 320
[2] Convergence of optimal control problems with an H-infinity-norm constraint
Rotstein, H
AUTOMATICA, 1997, 33 (03) : 355 - 367
[3] H-INFINITY-NORM APPROXIMATION OF SYSTEMS BY CONSTANT MATRICES AND RELATED RESULTS
KAVRANOGLU, D
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (05) : 1006 - 1009
[4] Structural-control optimization with H-2- and H-infinity-norm bounds
Khot, NS
Oz, H
OPTIMAL CONTROL APPLICATIONS & METHODS, 1997, 18 (04): : 297 - 311
[5] Applications of the Order Reduction Optimization of the H-Infinity Controller in Smart Structures
Moutsopoulou, Amalia
Petousis, Markos
Vidakis, Nectarios
Stavroulakis, Georgios E.
Pouliezos, Anastasios
INVENTIONS, 2023, 8 (06)
[6] ONE-STEP EXTENSION APPROACH TO OPTIMAL HANKEL-NORM APPROXIMATION AND H-INFINITY-OPTIMIZATION PROBLEMS
YANG, CD
YEH, FB
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (05) : 674 - 688
[7] ZEROTH ORDER H-INFINITY NORM APPROXIMATION OF MULTIVARIABLE SYSTEMS
KAVRANOGLU, D
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1993, 14 (1-2) : 89 - 101
[8] New identification based weighted H-infinity norm approximation scheme and its applications to controller reduction
Kavranoglu, D
AlAmer, S
Bettayeb, M
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1997, 144 (01): : 61 - 66
[9] GAME-THEORY APPROACH TO OPTIMAL LINEAR-ESTIMATION IN THE MINIMUM H-INFINITY-NORM SENSE
YAESH, I
SHAKED, U
PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 421 - 425
[10] UNIFIED APPROACH TO H-INFINITY-OPTIMIZATION, HANKEL APPROXIMATION AND BALANCED REALIZATION PROBLEMS
YEH, FB
YANG, CD
TSAI, MC
INTERNATIONAL JOURNAL OF CONTROL, 1988, 47 (04) : 967 - 978

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