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.
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页码：145 / 152
页数：8
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