约瑟夫森结是一个很重要的超导元件,其电路模型关键参数的数值差别很大,传统的自适应同步方法不能准确识别小幅度参数,基于李亚谱诺夫稳定性理论构造带有增益系数的控制器和参数观测器,结合标度放大方法对约瑟夫森结混沌系统不同阶参数进行识别.以误差函数为统计量,在增益系数和放大因子的相空间给出同步和非同步区域分布,发现对两个小参数同时进行标度放大可以增加同步区域.该方法可以显著提高小参数的识别精度,数值计算结果验证了该方法的有效性.
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