Grey box identification in closed-loop

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Abstract

The focus in this paper is identification of parameters in closed-loop systems. The system identification approach is based on a reformulation of feedback controllers in terms of its coprime factors. Based on this controller architecture, an auxiliary input is injected into the controller for the identification. The result of this setup is that the closed-loop identification problem is transformed into a standard open-loop identification problem. The models with unknown parameters are given in the form of a linear fractional transformation (LFT) where the direct term gives the nominal system and the other part gives the nonlinear maps of the variation of the unknown parameters into the system. Further, the coprime factors of this system can again be described as LFT of the nominal coprime factors and the parameter variations, i.e. an open-loop LFT identification problem.

Original languageEnglish
Title of host publicationProceedings of 2019 American Control Conference
PublisherIEEE
Publication date1 Jul 2019
Pages4990-4995
Article number8814460
ISBN (Electronic)9781538679265
Publication statusPublished - 1 Jul 2019
Event2019 American Control Conference - Philadelphia, United States
Duration: 10 Jul 201912 Jul 2019

Conference

Conference2019 American Control Conference
CountryUnited States
CityPhiladelphia
Period10/07/201912/07/2019
SponsorBoeing, GE Global Research, General Motors Co., Mitsubishi Electric Research Laboratory, United Technologies Research Center
SeriesProceedings of the American Control Conference
Volume2019-July
ISSN0743-1619

Keywords

  • Closed-loop system identification
  • Coprime factorization
  • Feedback controllers
  • Grey box models

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