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

作　　者：周加喜[1] 徐道临[1] 张月英[1] 刘春嵘[1] 

机构地区：[1]湖南大学机械与运载工程学院深海装备研究与开发中心,长沙410082

出　　处：《振动与冲击》2013年第4期71-74,84,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金(11102062;11072075);高等学校博士学科点专项科研基金(20110161120040);中国博士后科学基金(20100480938);中央高校基本科研业务费及汽车车身先进设计制造国家重点实验室基金(71075004)资助

摘　　要：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.

关 键 词：混沌化 时延反馈 频谱优化 未知参数系统 

分 类 号：O328[理学—一般力学与力学基础]