学术
摘 要:
设计了一种同步控制器和参数识别器来实现异结构不确定混沌系统的同步控制。以单模激光Lorenz系统和不确定Genesio系统为例，验证了这种控制器的有效性。根据Lyapunov稳定性理论，分步构造出Lyapunov函数，从而给出同步控制器和参数识别器的结构。仿真结果表明：利用本文提出的同步控制方案，仅用一个控制器就能使不确定Genesio系统的所有状态变量严格地跟踪Lorenz系统的混沌轨迹，而且误差变量经过短暂的时间序列以后始终平稳地趋于零，实现了异结构混沌系统的混沌同步，且不确定Genesio系统的参数全部可以得到识别。[著者文摘]
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文章出处:
《应用光学》-2008年1期 -156-159页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
1002-2082（2008）01-0156-04
Synchronization control and parameter identification for uncertain chaotic systems with diverse structures
FENG Li-jun, GU De-qiao （Division of Basic Course, Dalian Naval Academy, Dalian 116018, China）
Abstract:
The parameter identificator and synchronization controller were designed to synchronize the uncertain chaotic systems with diverse structures. Taking the single-mode laser Lorenz system and Genesio system as examples, the method was proved effective and feasible. The Lyapunov function was deduced based on Lyapunov stability theory, and the structures of the identificator and the controller were presented. The simulation results show that all the state variables of the Genesio system can be synchronized with those in the uncertain Lorenz system by only one controller, the error signals approach to zero smoothly and quickly, and the synchronization between different chaotic systems is realized. All the parameters of the unknown Lorenz system can be identified.[著者文摘]
Key words:
backstep method; chaos synchronization; parameter identification; Lorenz system;uncertain Genesio system
基金资助:
海军大连舰艇学院科研发展基金
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