Tracking unstable periodic orbits in chaotic systems via time delayed feedback control

被引：0
|
作者：
Yu, XH [1 ]
Chen, GR [1 ]
机构：
[1] Univ Cent Queensland, Fac Informat & Commun, Rockhampton, Qld 4702, Australia
来源：
PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4 | 1998年
关键词：
chaos control; Rossler system; stabilization; time-delayed feedback; tracking;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A time-delayed feedback control (TDFC) system is by nature a rather special version of the familiar autoregressive moving-average (ARMA) control, or the canonical state-space control systems. Despite some of its inherent limitations, TDFC can be quite successful in many chaos control applications. To understand to what extent the TDFC method is useful, some analytic (sufficient) conditions for chaos control from the TDFC approach are derived in this paper, for both stabilization and tracking problems. A gradient descent based search algorithm is incorporated with the TDFC to estimate the time delay constant for tracking unstable periodic orbits. The established theoretical results and estimation method are further clarified via a case study of the typical chaotic Rossler system with computer simulations.
引用
收藏
页码：1942 / 1945
页数：4
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