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Parameter identification using moment of velocity.

M Dorraki1,2, M S Islam1, A Allison1,2

  • 1School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide, South Australia 5005, Australia.

Royal Society Open Science
|December 13, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method using the moment of velocity (MoV) to estimate complex-conjugate poles in second-order systems. This technique aids in identifying system parameters like damping and frequency from impulse responses.

Keywords:
Hilbert transformmoment of velocityparameter identification

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Area of Science:

  • Control Systems Engineering
  • Signal Processing
  • Dynamical Systems Analysis

Background:

  • Second-order approximations are common for modeling physical systems.
  • System identification frequently involves estimating complex-conjugate pole positions.
  • Existing methods may have limitations, necessitating alternative approaches.

Purpose of the Study:

  • To present a convenient and approximate technique for estimating complex-conjugate pole positions.
  • To utilize the moment of velocity (MoV) for parameter identification in dynamical systems.
  • To address the shortcomings of instantaneous frequency estimation.

Main Methods:

  • The moment of velocity (MoV), a Hilbert transform-based signal processing tool, is employed.
  • MoV is applied to the impulse response of a dynamical system.
  • Estimation of damping coefficient and oscillation frequency is performed using MoV.

Main Results:

  • The moment of velocity (MoV) is demonstrated as a viable tool for parameter identification.
  • The technique provides an approximate estimation of complex-conjugate pole positions.
  • Damping coefficient and oscillation frequency were successfully estimated via MoV of the impulse response.

Conclusions:

  • The moment of velocity (MoV) offers a practical method for identifying parameters in second-order dynamical systems.
  • This approach simplifies the estimation of complex-conjugate poles, crucial for system modeling.
  • MoV proves effective in analyzing impulse responses for parameter extraction.