Rational Basis Functions for Robust Identification from Frequency and Time-Domain Measurements

  • Authors:

  • HÜSEYIN AKÇAY;BRETT NINNESS

  • Affiliations:

  • Feza Gürsey Institute, P.O. Box 6, Çengelköy 81220, Istanbul, Turkey. This author gratefully acknowledges support for this work from TÜBITAK and CIDAC.;Centre for Integrated Dynamics and Control (CIDAC) and Department of Electrical and Computer Engineering, University of Newcastle, Callaghan, NSW 2308, Australia. This author gratefully acknowledg ...

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1998

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Abstract

This paper investigates the use of general bases with fixed poles for the purposes of robust estimation. These bases, which generalise the common FIR, Laguerre and two-parameter Kautz ones, are shown to be fundamental in the disc algebra provided a very mild condition on the choice of poles is satisfied. It is also shown that, by using a min-max criterion, these bases lead to robust estimators for which error bounds in different norms can be explicitly quantified. The key idea facilitating this analysis is to re-parameterise the chosen model structures into a new one with equivalent fixed poles, but for which the basis functions are orthonormal in H"2(D).