An Efficient q-Markov Covariance Equivalent Realization Approach to System Identification

Yuling Shen, Muhao Chen, Manoranjan Majji, Robert E. Skelton

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

An efficient q-Markov covariance equivalent realization (QMC) formulation is presented in this paper. This efficient solution matches all Markov and Covariance parameters of a finite-dimensional system using a finite amount of data. The frequency responses of that system is also matched by the efficient QMC solution. The existence condition of this efficient QMC solution and its parametrization is given in this paper. Then, a generalized algorithm for system identification using the efficient QMC is given. The example is set up by a cantilever beam. Results show that the efficient QMC fully captures Markov and covariance parameters and frequency responses of the cantilever beam.

Original languageEnglish
Title of host publicationIFAC-PapersOnLine
EditorsHideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
Pages108-113
Number of pages6
Edition2
ISBN (Electronic)9781713872344
DOIs
StatePublished - Jul 1 2023
Event22nd IFAC World Congress - Yokohama, Japan
Duration: Jul 9 2023Jul 14 2023

Publication series

NameIFAC-PapersOnLine
Number2
Volume56
ISSN (Electronic)2405-8963

Conference

Conference22nd IFAC World Congress
Country/TerritoryJapan
CityYokohama
Period7/9/237/14/23

Bibliographical note

Publisher Copyright:
Copyright © 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

Keywords

  • Covariance parameters
  • Markov parameters
  • Model reduction
  • QMC
  • System identification

ASJC Scopus subject areas

  • Control and Systems Engineering

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