一种针对未知参数系统的实时混沌化方法

A real-time chaotification method for dynamic systems with unknown parameters

针对未知参数系统,提出一种基于频谱优化和时延反馈控制的实时混沌化方法。首先,基于系统稳态响应构造频谱性能指标,量化系统稳态行为(周期或混沌等);然后,随着时间进程的推进,按照直接寻优算法(Hooke-Jeeves方法)实时调整反馈控制器的时延,直至算法收敛。当性能指标达到最小值时,系统进入最佳混沌状态。数值算例验证了本方法的有效性。该方法最大优点在于无需知道系统参数,仅基于系统响应状态便可实施混沌化控制,易于实现工程化应用。

Here, a chaotification method based on a spectral optimization in conjunction with a time-delay feedback control was proposed to drive a system with unknown parameters to be chaotic. A performance index was constructed to quantify the spectral characteristic of the steady state behavior of the system. In the process of chaotification, the time delay of the time-delay feedback controller was optimally adjusted by using Hooke-Jeeves method until the termination criteria were satisfied. When the performance index reached the minimum value, the system tended to the best chaotic state. Numerical simulations verified the feasibility of this chaotification method. The advantage of this method was that only the steady state response is required in a process of chaotification without knowing the system＇s parameters, so this method is easy for application in practical engineering.