基于稳定性理论的混沌反控制研究  

Study on anti-controlled chaos using stability theory

作　　者：刘树勇[1] 曾强洪[1] 杨庆超[1] 许师凯 

机构地区：[1]海军工程大学动力工程学院,湖北武汉430033

出　　处：《华中科技大学学报（自然科学版）》2013年第12期77-80,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51179197);国家自然科学基金青年基金资助项目(51009143)

摘　　要：为实现受扰线性系统在混沌化过程中能有效跟踪混沌驱动系统,建立了跟踪误差系统.应用李雅普诺夫稳定性理论设计了控制器,使跟踪误差系统具备稳定的动力学特性,导出了该类系统混沌化的条件;对二阶连续受扰线性系统输出跟踪Duffing混沌系统,以及对四阶受扰线性系统输出跟踪Jerk混沌系统,进行了仿真研究.结果表明:当两系统满足跟踪混沌反控制的约束条件时,输出误差随时间演化趋向零,实现了受扰系统的混沌化,能为异结构混沌同步设计提供参考.In order to ensure that the output of disturbed linear system with persistent disturbance can track the output of chaotic system effectively, a tracking error system was presented. The correspond- ing controller providing the stable dynamic characteristic for the tracking system was designed, and the chaotification conditions of the system were deduced. The second-order disturbed linear system tracking Dulling chaotic system and the forth-order system tracking Jerk chaotic system were simula- ted numerically. Results show that the output errors approach zero in a short term and the disturbed linear system is chaotified successfully, which is useful for guiding the design of different hetero- structure chaos synchronization systems.

关 键 词：混沌反控制 李雅普诺夫定理 DUFFING系统 线性受扰系统 稳定性理论 

分 类 号：TU352.11[建筑科学—结构工程]