延迟-非线性反馈控制混沌

提出了基于稳定性准则的延迟非线性反馈控制混沌的方法，即SC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延迟信号的非线性函数的差，构造了连续反馈输入干扰，以控制混沌轨到某一期望的不稳周期轨上. 该方法继承了延迟反馈控制方法的优点，实现了自-控制过程. 另外由于该方法基于线性系统的稳定性准则，保证了控制的有效性. 控制过程可随时开始，具有简便、灵活性. 给出耦合Duffing振子的例子，数值模拟结果显示了SC延迟反馈方法控制的有效性. 关键词： 稳定性准则 混沌控制 延迟反馈 干扰

Controlling chaos using time-delay nonlinear feedback

A method of chaos control using time-delay nonlinear feedback based on stability criterion is proposed. By a suitable separation of the chaotic system, a special nonlinear function is obtained. We use the difference of nonlinear functions of the chaotic output signal and its delayed output signal to construct a continuous feedback input perturbation. The method can stabilize chaotic systems to a desired periodic orbit without using any external force. The method retains the advantages of performing the self-control via delayed feedback control method. Besides, 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 Duffing oscillator is given as numerical examples. The results of numerical simulation show the validity of the method.