On time-delayed feedback control of chaotic systems

被引：186

作者：

Chen, GR ^{[1
]}

Yu, XH

机构：

[1] Univ Houston, Dept Elect & Comp Engn, Houston, TX 77204 USA

[2] Univ Cent Queensland, Fac Informat & Commun, Rockhampton, Qld 4702, Australia

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 1999年 / 46卷 / 06期

关键词：

chaos control; Lyapunov function; stabilization; time-delayed feedback; tracking;

D O I：

10.1109/81.768837

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

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

页码：767 / 772

页数：6

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