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异结构混沌系统的自适应同步控制 被引量:6

Adaptive synchronization control between different structures chaotic systems
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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.
出处 《重庆邮电大学学报(自然科学版)》 北大核心 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)
关键词 LIU混沌系统 Rǒssler混沌系统 自适应控制 异结构同步 chaotic Liu system chaotic Rossler system adaptive control different structural synchronization
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