The damping iterative parameter identification method for dynamical systems based on the sine signal measurement

The sine signal is used widely in the signal processing, communication, system analysis and system identification. This paper proposes a damping parameter estimation algorithm for dynamical systems based on the sine frequency response. The measured data are collected by taking the sine signals as th...

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Bibliographic Details
Published inSignal processing Vol. 120; pp. 660 - 667
Main Author Xu, Ling
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.03.2016
Subjects
Damping iteration
Frequency response
Iterative identification
Parameter estimation
Sine signal
Parameter estimation
Frequency response
Iterative identification
Sine signal
Damping iteration
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ISSN0165-1684
1872-7557
DOI10.1016/j.sigpro.2015.10.009

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Summary:The sine signal is used widely in the signal processing, communication, system analysis and system identification. This paper proposes a damping parameter estimation algorithm for dynamical systems based on the sine frequency response. The measured data are collected by taking the sine signals as the input. Analyzing the system׳s output sine response function, we can construct a nonlinear objective function. By using the nonlinear optimization techniques, we propose an iterative algorithm to estimate the system parameters. In order to overcome the singular or ill-conditioned matrix during the iterative process, we introduce a damping factor in the proposed iterative algorithm. At the same time the gradient iterative parameter estimation algorithm and the Gauss–Newton iterative parameter estimation algorithm are derived for comparing the performance of the presented methods. Moreover, the simulation results given by an example indicate that the proposed method works well.
ISSN:0165-1684
1872-7557
DOI:10.1016/j.sigpro.2015.10.009