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Advances in the Theory of Control, Signals and Systems with Physical Modeling pp 65–75Cite as

Elimination Theory for Nonlinear Parameter Estimation

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 407))

Abstract

The work presented here exploits elimination theory (solving systems of polynomial equations in several variables) [1][2] to perform nonlinear parameter identification. In particular show how this technique can be used to estimate the rotor time constant and the stator resistance values of an induction machine. Although the example here is restricted to an induction machine, parameter estimation is applicable to many practical engineering problems. In [3], L. Ljung has outlined many of the challenges of nonlinear system identification as well as its particular importance for biological systems.

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References

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Author information

Authors and Affiliations

  1. ECE Department, Boise State University, Boise, ID, USA

    John Chiasson & Ahmed Oteafy

Authors
  1. John Chiasson
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  2. Ahmed Oteafy
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Editors and Affiliations

  1. CAS, Unité Mathématiques et Systémes, MINES-ParisTech, 35, rue Saint-Honoré, 77300, Fontainebleau, France

    Jean Lévine

  2. Laboratoire d’ Automatique, Faculté des Sciences de l’Ingénieur Station 9, CH-1015, Lausanne, Switzerland

    Philippe Müllhaupt

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Chiasson, J., Oteafy, A. (2010). Elimination Theory for Nonlinear Parameter Estimation. In: Lévine, J., Müllhaupt, P. (eds) Advances in the Theory of Control, Signals and Systems with Physical Modeling. Lecture Notes in Control and Information Sciences, vol 407. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16135-3_6

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  • DOI: https://doi.org/10.1007/978-3-642-16135-3_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16134-6

  • Online ISBN: 978-3-642-16135-3

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