量子电子学报2012，Vol.29Issue(4)：457-466,10.DOI:10.3969/j.issn.1007-5461.2012.04.012
标度放大和自适应同步识别约瑟夫森结混沌系统中非同阶参数
Identification of parameters with different magnitude orders in chaotic Josephson junction by using scale conversion and adaptive synchronization
摘要
Abstract
Josephson junction is an important superconducting device, values of the critical parameters within the Josephson junction model are mapped with different orders of magnitude. As a result, the unknown parameters with smaller order of magnitude can not be detected with high precision by using the original scheme of adaptive synchronization. Based on the Lyapunov stability theory, appropriate controller and parameter observers with gain coefficients are approached analytically, a scheme of scale conversion is proposed to estimate the unknown parameters with different orders of magnitude. By defining the statistical error function, the areas of synchronization and non-synchronization are demarcated. It is found that the area of synchronization becomes larger when two smaller unknown parameters are amplified simultaneously. In this way, precision of the identified results is increased greatly, and the results confirm that the scheme is successful to identify the unknown parameters with small order of magnitude.关键词
混沌/标度变换/约瑟夫森结/自适应同步/参数识别Key words
chaos/ scale conversion/ Josephson junction/ adaptive synchronization/ identification of parameters分类
数理科学引用本文复制引用
李凡,黄龙,王春妮,马军..标度放大和自适应同步识别约瑟夫森结混沌系统中非同阶参数[J].量子电子学报,2012,29(4):457-466,10.基金项目
国家自然科学基金(11072099)和甘肃省教育厅研究生导师基金(1010ZTC088)资助项目 （11072099）
