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Hierarchical Parameter Estimation for the Frequency Response Based on the Dynamical Window Data

  • Ling Xu
  • Weili Xiong
  • Ahmed Alsaedi
  • Tasawar Hayat
Regular Papers Control Theory and Applications

Abstract

This paper studies the problem of parameter estimation for frequency response signals. For a linear system, the frequency response is a sine signal with the same frequency as the input sine signal. When a multi-frequency sine signal is applied to a system, the system response also is a multi-frequency sine signal. The signal modeling for multi-frequency sine signals is very difficult due to the highly nonlinear relations between the characteristic parameters and the model output. In order to obtain the parameter estimates of the multi-frequency sine signal, the signal modeling methods based on statistical identification are proposed by means of the dynamical window discrete measured data. By constructing a criterion function with respect to the model parameters to be estimated, a hierarchical multi-innovation stochastic gradient estimation method is derived through parameter decomposition. Moreover, the forgetting factor and the convergence factor are introduced to improve the performance of the algorithm. The simulation results show the effectiveness of the proposed methods.

Keywords

Hierarchical estimation multi-frequency signal multi-innovation parameter estimation 

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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Ling Xu
    • 1
    • 2
  • Weili Xiong
    • 2
  • Ahmed Alsaedi
    • 3
  • Tasawar Hayat
    • 3
  1. 1.School of Internet of Things TechnologyWuxi Vocational Institute of CommerceWuxiP. R. China
  2. 2.School of Internet of Things EngineeringJiangnan UniversityWuxiP. R. China
  3. 3.NAAM Research Group, Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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