AN ACCURATE AND EFFICIENT PARAMETER DECOUPLING FOR TRANSFER FUNCTION IDENTIFICATION

In-Yong Seo, Allan E. Pearson

Abstract

We present an improved parameter decoupling algorithm in estimating parameters that characterize the numerator and denominator of transfer function polynomials using the Adaptive Weighted Least Squares arising (AWLS) and Weighted Least Squares (WLS) from Fourier moment functionals of the Shinbrot type. This algorithm gives more accurate estimates and uses less computation than Pearson’s algorithm. Also, simulation examples show that this algorithm can be applied to the frequency analysis of lightly damped systems for which establishing steady state or stationary operation may require unreasonably long settling times.

References

  1. Shaw A. K., 1994. A Decoupled Approach for Optimal Estimation of Transfer Function Parameters from Input-Output Data. IEEE Trans. on Signal Processing, vol. 42, no. 5, pp. 1275-1278.
  2. Li J. and Stoica P., 1996. Efficient Mixed-Spectrum Estimation with Applications to Target Feature Extraction. IEEE Trans. on Signal Processing, vol. 44, no. 2, pp. 281-295.
  3. So&&derstro&&m T. and Stoica P., 1989. System Identification, Prentice Hall International Ltd.
  4. Pearson A. E., 1998. Parameter Decoupling for Transfer Function Identification During Quasi-Harmonic Operation. Proc. of 1998 American Control Conf., vol. 5, pp. 3607-3611.
  5. Pearson A. E. and Shen Y., 1993. Weighted Least Squares/MFT algorithms for linear differential System Identification. Proc. 32nd Conference on Decision and Control vol. 7, pp. 2032-2037.
  6. Pearson A. E., 1999. Frequency Domain Scaling Strategies for Linear Differential System Identification. Proc. of European Control Conf. Paper No. F1013-4.
  7. Shen Y., 1993. System Identification and Model Reduction Using Modulating Function Technique. Ph.D. thesis, Division of Engineering, Brown University, Providence, Rhode Island.
  8. Symbolic Math Toolbox, Version 2.1.2. The Math Works, Inc.
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Paper Citation


in Harvard Style

Seo I. and Pearson A. (2004). AN ACCURATE AND EFFICIENT PARAMETER DECOUPLING FOR TRANSFER FUNCTION IDENTIFICATION . In Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO, ISBN 972-8865-12-0, pages 160-167. DOI: 10.5220/0001138001600167


in Bibtex Style

@conference{icinco04,
author={In-Yong Seo and Allan E. Pearson},
title={AN ACCURATE AND EFFICIENT PARAMETER DECOUPLING FOR TRANSFER FUNCTION IDENTIFICATION },
booktitle={Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},
year={2004},
pages={160-167},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001138001600167},
isbn={972-8865-12-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,
TI - AN ACCURATE AND EFFICIENT PARAMETER DECOUPLING FOR TRANSFER FUNCTION IDENTIFICATION
SN - 972-8865-12-0
AU - Seo I.
AU - Pearson A.
PY - 2004
SP - 160
EP - 167
DO - 10.5220/0001138001600167