一类混沌电路的跃变参数识别与同步*

J4 ›› 2010, Vol. 27 ›› Issue (1): 82-87.

一类混沌电路的跃变参数识别与同步*

褚润通王春妮马军

兰州理工大学理学院，甘肃兰州 730050

出版日期:2010-01-28 发布日期:2009-12-30
通讯作者: 马军，男, 副教授，硕士研究生导师，主要从事非线性物理方面的研究, 已经在国内外SCI索引期刊发表论文60余篇。 E-mail:hyperchaos@163.com
作者简介:褚润通，男，讲师，主要从事混沌电路设计等方面研究，E-mail: crt689@163.com
基金资助:
国家自然科学基金(10747005, 30670529)和兰州理工大学青年基金资助(Q200706)

Synchronization and estimation of jump parameter of one certain chaotic circuit

CHU Run-Tong, WANG Chun-Ni, MA Jun

School of Science, Lanzhou University of Technology, Lanzhou 730050，China

Published:2010-01-28 Online:2009-12-30

摘要/Abstract

摘要：

基于李亚普诺夫稳定性理论和矩阵理论，用两种方法对一类混沌电路系统参数发生跃变情况下的参数识别与同步控制进行了理论分析和数值计算机模拟。第一种方法是通过负反馈将系统镇定到某个稳定态来识别系统的跃变参数（系统参数突然发生阶跃性变化），通过计算李亚普诺夫指数获得反馈系数临界值。第二种方法是基于李亚普诺夫稳定性理论得到的参数观测器包含了可调节的增益系数，当两个混沌系统达到完全同步时驱动系统的5个未知参数在阶跃变化情况下也可以被准确识别。最后对两种方法的优缺点进行了比较和分析。

关键词: 量子光学, 混沌, 参数识别, 同步

Abstract:

Based on the Lyapunov stability and matrix theory, two schemes are used to estimate the unknwon jump parameters of one certain chaotic circuit and complete synchronization is realized . Theoretical analysis is given and checked by the numerical simulation. Within the first scheme, some unknown jump parameters(parameters jump suddenly) are identified completely by stabilizing the chaotic system to stable state and the critical value for negative feedback coefficient could be found by calculating the conditional Lyapunov exponents of the controlled system.Within the second scheme, parameter observers and controllers with controllable gain coefficient are approached theoretically by using the Lyapunov stability theory. Five unknown parameters are estimated exactly within short transient period when the two chaotic circuits reach complete synchronization. Finally, the two schemes are compared and discussed in brief.

Key words: quantum optics, chaos, parameter estimation, synchronization

褚润通王春妮马军. 一类混沌电路的跃变参数识别与同步*[J]. J4, 2010, 27(1): 82-87.

CHU Run-Tong, WANG Chun-Ni, MA Jun. Synchronization and estimation of jump parameter of one certain chaotic circuit[J]. J4, 2010, 27(1): 82-87.

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