A FAST ALGORITHM TO COMPUTE THE H-INFINITY-NORM OF A TRANSFER-FUNCTION MATRIX

被引：193

作者：

BRUINSMA, NA

STEINBUCH, M

机构：

[1] PHILIPS RES LABS,5600 JA EINDHOVEN,NETHERLANDS

[2] DELFT UNIV TECHNOL,FAC MECH ENGN,MEASUREMENT & CONTROL GRP,DELFT,NETHERLANDS

来源：

SYSTEMS & CONTROL LETTERS | 1990年 / 14卷 / 04期

关键词：

H[!sub]∞[!/sub]-normL[!sub]∞[!/sub]-normH[!sub]∞[!/sub]-cont rol; Hamimtonian matrix; singular values;

D O I：

10.1016/0167-6911(90)90049-Z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A fast algorithm is presented to compute the H∞-norm of a transfer function matrix, based on the relation between the singular values of the transfer function matrix and the eigenvalues of a related Hamiltonian matrix. The norm is computed with guaranteed accuracy. A very simple method to compute a rather close lower bound on the H∞-norm is given. © 1990.

引用

页码：287 / 293

页数：7

共 12 条

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[Anonymous], 1984, LINEAR SYSTEM THEORY

[2]

Boyd S., 1989, Mathematics of Control, Signals, and Systems, V2, P207, DOI 10.1007/BF02551385

[3]

BOYD S, IN PRESS SYSTEMS CON

[4]

BOYD S, 1988, 1988 P AM CONTR C, P396