Advanced feedback control of the chaotic duffing equation

被引：51

作者：

Jiang, ZP ^{[1
]}

机构：

[1] Polytech Univ, Dept Elect & Comp Engn, Brooklyn, NY 11201 USA

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2002年 / 49卷 / 02期

基金：

美国国家科学基金会;

关键词：

adaptive nonlinear control; Duffing equation; exponential convergence; global stability; linear feedback;

D O I：

10.1109/81.983872

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：

This brief deals with the celebrated chaotic Duffing equation with external control force. It is shown that Lyapunov direct method in conjunction with recent developments in nonlinear control yields a promising way of engineering chaotic dynamics. Among the three types of feedback controllers introduced in the paper, we particularly emphasize the value of linear feedback strategy in controlling chaos. For the forced Duffing equation, it is shown that linear feedback control laws are inherently robust to (even large) sensor errors.

引用

页码：244 / 249

页数：6

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