Frequency domain identification of hammerstein systems

Akshya K. Swain, David T. Westwick, Eric Perreault

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The present study proposes a new approach to identify the parameters of both continuous and discrete time Hammerstein systems in frequency domain. A harmonic probing technique is used to derive the linear and higher-order frequency response functions (called the generalized frequency response functions (GFRF)) of both discrete and continuous-time Hammerstein models. The computation of the n-th order generalized frequency response functions (GFRF) is a recursive procedure where each lower order GFRF contains no effects from higher order terms. Thus the parameter estimation problem can be formulated in a linear least squares framework where the parameters corresponding to nonlinearities of different orders can be estimated independently, beginning with first order and then building up to include the nonlinear terms using the weighted complex orthogonal estimator, which is a modified version of the standard orthogonal least squares, to accommodate complex data. Simulation results are included to demonstrate that the proposed method can successfully estimate the parameters of the system under the effects of significant levels of noise.

Original languageEnglish (US)
Title of host publicationTENCON 2009 - 2009 IEEE Region 10 Conference
DOIs
StatePublished - Dec 1 2009
Event2009 IEEE Region 10 Conference, TENCON 2009 - Singapore, Singapore
Duration: Nov 23 2009Nov 26 2009

Publication series

NameIEEE Region 10 Annual International Conference, Proceedings/TENCON

Other

Other2009 IEEE Region 10 Conference, TENCON 2009
CountrySingapore
CitySingapore
Period11/23/0911/26/09

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ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Swain, A. K., Westwick, D. T., & Perreault, E. (2009). Frequency domain identification of hammerstein systems. In TENCON 2009 - 2009 IEEE Region 10 Conference [5395973] (IEEE Region 10 Annual International Conference, Proceedings/TENCON). https://doi.org/10.1109/TENCON.2009.5395973