半周期延迟-非线性反馈控制混沌

提出了基于稳定性准则的半周期延迟-非线性反馈控制混沌的方法，即SC(stability criterion)半周期延迟非线性反馈控制法.通过对混沌系统的适当分离，得到一个特殊的非线性函数，并利用混沌输出信号与其半周期延迟信号的非线性函数之和，构造了连续反馈输入干扰.该方法继承了延迟反馈控制方法及稳定性准则控制方法的优点，实现了有效的自控制过程；并克服了延迟反馈方法的限制，能将嵌入混沌吸引子中的自对称直接不稳周期轨稳定.控制过程可随时开始，具有简便、灵活性.数值模拟结果显示了SC半周期延迟-非线性反馈方法控制的有效性. 关键词： 稳定性准则 混沌控制 半周期延迟 非线性反馈

Controlling chaos using half period delay-nonlinear feedback

A method of chaos control using half period delayed-nonlinear feedback based on stability criterion is proposed in present paper. By a suitable separation of chaotic system, a special nonlinear function is obtained. Using the sum of nonlinear function about the chaotic output signal and its half period delayed output signal a continuous feedback input perturbation is constructed. Self-symmetric directly unstable periodic orbits can be stabilized by the method without using any external force. The method retains the advantages of performing the self-control of delay feedback control and overcomes its limitations. Beside, the validity of control is ensured due to the stability criterion. The control can be started at any moment, and it is convenient and flexible. The coupled coupling Duffing oscillator is taken as a numerical example. The results of numerical simulation show the validity of the method.