Chaos control of a φ6-Van der Pol oscillator driven by external excitation

被引：8
|
作者：
Liu, Dasheng [1 ]
Yamaura, Hiroshi [1 ]
机构：
[1] Tokyo Inst Technol, Grad Sch Sci & Engn, Meguro Ku, Tokyo 1528552, Japan
来源：
NONLINEAR DYNAMICS | 2012年 / 68卷 / 1-2期
关键词：
phi(6)-Van der Pol; Chaos control; Delayed feedback control; Nonautonomous system; DELAYED FEEDBACK-CONTROL; DISCRETE-TIME-SYSTEMS; DUFFING-VAN; BIFURCATION; SYNCHRONIZATION; ATTRACTORS;
D O I：
10.1007/s11071-011-0206-0
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper studies the dynamics of a phi(6)-Van der Pol oscillator subjected to an external excitation. Numerical analysis is presented to observe its periodic and chaotic motions, and a method called Multiple-prediction Delayed Feedback Control is proposed to control chaos effectively via periodic feedback gain. The controller is designed based on plural Poincare maps which are defined to regard the nonautonomous system as a T-periodic discrete time system, therefore, the stability of the closed-loop system can be evaluated from the theory of monodromy matrix. Numerical simulations are provided to illustrate the validity of the proposed control strategy.
引用
收藏
页码：95 / 105
页数：11
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