Transfer Function Parameter Identification by Modified Relay Feedback

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Abstract

This paper proposes a transfer function parameter identification method, applicable to SISO systems of any order. Parameter identification is posed as a (non-convex) squared output error minimization problem, numerically solved utilizing Newton-Raphson iteration with back tracking line search. Focus lies on computing the cost function gradient and Hessian with respect to the parameter vector and on finding a feasible start point. The method is demonstrated for FOTD model identification. A modified relay non-linearity is utilized in order to obtain most input signal energy at a predefined phase, without a priori system information. The identification method is evaluated on a batch of common process industry processes. Finally, conclusions and suggestions on future work are provided.
Original languageEnglish
Title of host publication2010 American Control Conference
Pages2164-2169
DOIs
Publication statusPublished - 2010
EventAmerican Control Conference, 2010 - Baltimore, MD, Baltimore, MD, United States
Duration: 2010 Jun 302010 Jul 2

Publication series

Name
ISSN (Print)0743-1619

Conference

ConferenceAmerican Control Conference, 2010
Country/TerritoryUnited States
CityBaltimore, MD
Period2010/06/302010/07/02

Subject classification (UKÄ)

  • Control Engineering

Keywords

  • relay
  • identification
  • parametric
  • transfer function
  • state space
  • FOTD

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