ABSOLUTE STABILITY-CRITERIA FOR MULTIPLE SLOPE-RESTRICTED MONOTONIC NONLINEARITIES

被引：65

作者：

HADDAD, WM

KAPILA, V

机构：

[1] School of Aerospace Engineering, Georgia Institute of Technology, Atlanta

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1995年 / 40卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/9.341811

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Absolute stability criteria such as the classical Popov criterion guarantee stability for a class of sector-bounded nonlinearities. Although the sector restriction bounds the admissible class of the nonlinearities, the local slope of the nonlinearity may be arbitrarily large. In this paper we derive absolute stability criteria for multiple slope-restricted time-invariant monotonic nonlinearities. Like the Popov criterion, in the single-input/single-output case our results provide a simple graphical interpretation involving a straight line in a modified Popov plane.

引用

页码：361 / 365

页数：5

共 25 条

[1]

Anderson B. D. O., 1973, NETWORK ANAL SYNTHES

[2] FREQUENCY DOMAIN STABILITY CRITERIA .2. [J].