Nonresonant parametric control of Chens system
Mengjiao Wang, Zeng Yi-Cheng, Guanghui Chen, Juan He · Acta Physica Sinica · 2011
In this paper, nonfeedback chaos control of Chens system is realized with nonresonant parametric drive. A periodic signal whose frequency is far higher than the systems mean frequency is used as the input. And the system variables of the controlled system are decomposed into slowly varying variables which change according to the systems mean frequency and fast varying variables which change according to the frequency of periodic signal. Then, by averaging method, a slowly varying dynamics is obtained. According to the dynamical characteristics of the slowly varying dynamics, the available control parameter range is obtained. Numerical simulation results show that this method can lead the controlled system to the target state rapidly, even when the control signal is disturbed by noise in certain SNR ranges, so the proposed method is feasible.