Extended resonant feedback technique for controlling unstable periodic orbits of chaotic system

被引：7

作者：

Tamasevicius, Arunas ^{[1
]}

Tamaseviciute, Elena ^{[1
,2
]}

Pyragiene, Tatjana ^{[1
]}

Mykolaitis, Gytis ^{[1
]}

Bumeliene, Skaidra ^{[1
]}

机构：

[1] Lithuania Acad Sci, Inst Semicond Phys, Plasma Phenomena & Chaos Lab, LT-01108 Vilnius, Lithuania

[2] Vilnius State Univ, Fac Phys, Dept Gen Phys & Spect, LT-10222 Vilnius, Lithuania

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2009年 / 14卷 / 12期

关键词：

Non-linear dynamics; Low-dimensional chaos; Control of chaos; STABILIZATION; OSCILLATOR;

D O I：

10.1016/j.cnsns.2009.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An improvement of the recently described resonant chaos control method is suggested. Negative feedback loop containing a notch-rejection filter, tuned to the main harmonic of the unstable periodic orbit, is supplemented with a set of notch filters tuned to the higher harmonics. The extended method is applied to an electrical circuit representing the Duffing-Holmes type non-autonomous two-well chaotic oscillator. Stabilization of the period-1 orbit is achieved with very small control force. The residual control signal is about 1% compared to the main variable. Mathematical model based on a two-well piecewise parabolic potential is presented and numerical simulation is performed. Numerical results are confirmed by hardware experiments. (C) 2009 Elsevier B.V. All rights reserved.

引用

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页码：4273 / 4279

页数：7

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