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不确定混沌系统自适应改进投影同步与参数估计
引用本文:李战国,徐伟.不确定混沌系统自适应改进投影同步与参数估计[J].工程数学学报,2010,27(1).
作者姓名:李战国  徐伟
作者单位:西北工业大学理学院心用数学系,西安,710072
基金项目:国家自然科学基金(10872165;10472091;10702065)~~
摘    要:研究一类新混沌系统与Genesio-Tesi混沌系统的改进投影同步,并对新混沌系统未知参数进行估计。依据主动控制原理,设计了非线性控制器和参数自适应更新律,用Lyapunov稳定性理论证明了误差系统原点的渐进稳定性。数值仿真结果验证了设计的非线性控制器和参数自适应更新律的有效性及其在有界噪声干扰下的鲁棒性。

关 键 词:新混沌系统  Genesio-Tesi混沌系统  改进投影同步  自适应律  有界噪声  

Adaptive Modified Projective Synchronization and Parameter Estimation for Chaotic Systems with Uncertain Parameters
LI Zhan-guo,XU Wei.Adaptive Modified Projective Synchronization and Parameter Estimation for Chaotic Systems with Uncertain Parameters[J].Chinese Journal of Engineering Mathematics,2010,27(1).
Authors:LI Zhan-guo  XU Wei
Abstract:A modified projective synchronization between a new chaotic system and a Genesio-Tesi chaotic system is investigated,and the unknown parameters of the new chaotic system are also esti- mated.The nonlinear controller and the parameter adaptive updating law are successfully designed according to the active control principle.Moreover,a strict proof of the asymptotic stability of the origin for the error system is derived by the Lyapunov stability theory.The effectiveness and the ro- bustness under a bounded no...
Keywords:new chaotic system  Genesio-Tesi chaotic system  modified projective synchronization  adaptive law  bounded noise  
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