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基于动态状态观测器的混沌系统同步设计的参数化方法

A Parametric Method of Synchronization Design for Chaotic Systems via Dynamic Observers
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摘要 研究了在有界干扰情况下一类非线性反馈混沌系统的同步动态观测器设计问题。基于Sylvester矩阵方程的参数化解,给出了非线性反馈混沌系统的同步动态观测器矩阵的所有参数化表达式,其所含参量为混沌系统控制设计提供了全部自由度,可适当选择自由参量满足某些鲁棒性指标。最后,数值算例及其仿真结果表明本文所提非线性反馈混沌系统的同步动态观测器的参数化设计方法是简单有效的。 The dynamic observer design problem of synchronization in a class of nonlinear feedback chaotic systems with a bounded disturbance is investigated. Based on the parametric solutions of a Sylvester matrix equation, the parametric expressions of the gain matrices of synchronization dynamic observer in the nonlinear feedback chaotic systems are presented, in which the parameter vectors offer all the design degrees that can be selected to satisfy some performances, such as robustness. Finally, a numerical example and its simulation results show the simplicity and effectiveness of the proposed parametric method for the synchronization design for chaotic systems via dynamic observers.
出处 《科学技术与工程》 2010年第8期1829-1833,1843,共6页 Science Technology and Engineering
关键词 混沌系统 非线性反馈 动态观测器 参数化 chaotic systems nonlinear feedback dynamic observers parameterization
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