Multivariable frequency-response curve fitting with application to control-relevant parameter estimation

S. V. Gaikwad, Daniel Rivera

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


A weighted least-squares method for curve fitting multivariable, discrete-time transfer-function models from a known plant frequency response is presented. The algorithm supports the use of iterative, pre/post matrix-valued weighting functions, which commonly arise in control-relevant parameter estimation problems. A challenging case study involving an ill-conditioned, 40-tray high-purity binary distillation column model is presented. The closed-loop responses from the control-relevant model are superior to those obtained from unweighted multivariable estimation methods and one element-at-a-time estimation, in spite of the fact that these latter models display a closer 'open-loop' fit.

Original languageEnglish (US)
Pages (from-to)1169-1174
Number of pages6
Issue number6
StatePublished - Jun 1997


  • Control-oriented models
  • Distillation columns
  • Parameter estimation
  • Predictive control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering


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