Matrix-theoretic conditions for the realizability of sliding manifolds

被引：23

作者：

Hsu, L ^{[1
]}

Kaszkurewicz, E ^{[1
]}

Bhaya, A ^{[1
]}

机构：

[1] Fed Univ Rio De Janeiro, Dept Elect Engn, COPPE, BR-21945970 Rio De Janeiro, Brazil

来源：

SYSTEMS & CONTROL LETTERS | 2000年 / 40卷 / 03期

关键词：

stability; sliding modes; variable structure systems; matrix diagonal stability; nonsmooth Liapunov functions;

D O I：

10.1016/S0167-6911(00)00013-X

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Systems of the type (s)over dot = K sgn(s), s is an element of R-n, where sgn(.) is the vector sign function, usually determine the realizability of sliding modes in control systems with high-frequency gain K. A new condition on K is established for the global stability of this system using a nonsmooth Liapunov function. This condition is used to establish necessary and sufficient stability conditions for second-order systems. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：145 / 152

页数：8

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