STABILITY OF CONTROL-SYSTEMS AND GRAPHS OF LINEAR-SYSTEMS

被引：26

作者：

OBER, RJ ^{[1
]}

SEFTON, JA ^{[1
]}

机构：

[1] UNIV TEXAS,CTR ENGN MATH,RICHARDSON,TX 75083

来源：

SYSTEMS & CONTROL LETTERS | 1991年 / 17卷 / 04期

关键词：

INTERNAL STABILITY; GRAPHS OF OPERATORS; GAP METRIC; ROBUST CONTROL;

D O I：

10.1016/0167-6911(91)90142-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

New conditions for internal stability of a closed-loop control system are given in terms of the graphs of the multiplication operators induced by the transfer functions of the plant and the controller. These conditions can be given a geometrical interpretation. This relates closed-loop stability to the minimal angle between the graph space associated with the system and the graph space associated with the controller. The maximally stabilizing controller is defined as the controller that maximizes the minimum angle between the graph space associated with the system and the graph space associated with the controller. It is shown that this controller can be calculated as a Nehari extension of the coprime factors of the system.

引用

页码：265 / 280

页数：16

共 16 条

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