Identification of parameters with different magnitude orders in chaotic Josephson Junction by using scale conversion and adaptive synchronization

Abstract

Abstract:

Josephson junction is an important superconducting device, the valuses of the critical parameters within the josephson junction model are mapped with different orders of magnitude. As a result, the unknwon parameters with smller order of magnitude can not be deteced 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, the 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.

Key words: scale conversion, Josephson junction, adaptive synchronization, identification of parameter

CLC Number:

Li Fan, Huang Long, Wang Chunni, Ma Jun. Identification of parameters with different magnitude orders in chaotic Josephson Junction by using scale conversion and adaptive synchronization[J]. J4, 2012, 29(4): 457-466.

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Identification of parameters with different magnitude orders in chaotic Josephson Junction by using scale conversion and adaptive synchronization

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