异结构混沌系统的自适应同步控制  

Adaptive synchronization control between different structures chaotic systems

作　　者：罗小华[1] 李华青[2] 吴昊[2] 罗明伟[3] 

机构地区：[1]重庆邮电大学通信与信息工程学院,重庆400065 [2]重庆邮电大学数理学院,重庆400065 [3]重庆邮电大学自动化学院,重庆400065

出　　处：《重庆邮电大学学报（自然科学版）》2009年第3期376-378,共3页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(60572089);航天"十一五"预研项目(E2007-8)

摘　　要：研究了驱动系统参数已知而响应系统参数未知的异结构混沌系统的自适应同步以已知Liu混沌系统和所有参数未知的Rǒssler混沌系统为例,基于Lyapunov稳定理论,设计出自适应控制器和未知参数的自适应律。理论上严格证明了闭环误差系统渐近稳定于零。该方法还可以估计出在特定初始条下控制增益的一组取值,从而进一步降低工程代价。数值仿真结果表明了该方法的可行性。Different structures adaptive synchronization between known drive system and response system with all parameters unknown was investigated. Taking chaotic Liu system and Rossler system with all parameters unknown as examples, adaptive controllers and adaptive rules of unknown were designed based on Lyapunov stability theory. Closed error system asymptotically decays to zeros. The proposed method could estimate a group values of control gain under a given condition, and thus reduces the cost of engineer. Numerical simulation results show the feasibility of proposed method.

关 键 词：LIU混沌系统 Rǒssler混沌系统 自适应控制 异结构同步 

分 类 号：TG156[金属学及工艺—热处理]