Chaotic behavior in sampled-data control systems with saturating control

被引：9
|
作者：
Lu, Jun Guo [1 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 30卷 / 01期
关键词：
D O I：
10.1016/j.chaos.2005.08.191
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper discusses the sufficient conditions for chaotic behavior in sampled-data control systems with a saturating actuator by applying Marotto's theorem. First, it is shown that the sampling signal of a simple one-dimensional state-feedback sampled-data control system with sampling period T is chaotic in the sense of Li and Yorke if T > T-1(*),. In particular. an explicit formula for the computation of T-1(*), is obtained. Next, this result is applied to a class of n-dimensional sampled-data control systems. Finally, the presented theory results are verified by two examples. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：147 / 155
页数：9
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