W-STABILITY OF FEEDBACK-SYSTEMS

被引：24

作者：

GEORGIOU, TT

SMITH, MC

机构：

[1] UNIV MINNESOTA,DEPT ELECT ENGN,MINNEAPOLIS,MN 55455

[2] OHIO STATE UNIV,DEPT ELECT ENGN,COLUMBUS,OH 43210

来源：

SYSTEMS & CONTROL LETTERS | 1989年 / 13卷 / 04期

基金：

美国国家科学基金会;

关键词：

Control Systems--Robustness - System Stability;

D O I：

10.1016/0167-6911(89)90115-1

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper introduces the notion of w-stability of feedback systems. This is a generalization of a concept of well-posedness discussed by Willems. w-Stability requires that a feedback system should remain stable under a certain class of perturbations which may not be vanishingly small when measured by the gap metric. The paper derives necessary and sufficient conditions for a feedback system to be w-stable. Further, an investigation of well posedness is given for feedback systems where high frequency roll-off has been suppressed for modelling simplicity. This question is pertinent in standard PID control.

引用

页码：271 / 277

页数：7

共 9 条

[1] L2-STABILITY AND L2-INSTABILITY OF LINEAR TIME-INVARIANT DISTRIBUTED FEEDBACK-SYSTEMS PERTURBED BY A SMALL DELAY IN LOOP [J].