Convergence analysis of refined instrumental variable method for continuous-time system identification

X. Liu, J. Wang, W. X. Zheng

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

Abstract

The refined instrumental variable method for continuous-time systems, abbreviated as the RIVC method, has been well accepted and used successfully for years in many disciplines. This study fills up a theoretical gap by proving the convergence property of the RIVC method: under some mild assumptions, the estimate from the RIVC method locally converges in one iteration to the true parameter in the asymptotic case. A numerical example is presented to demonstrate the convergence property of the RIVC method.
Original languageEnglish
Pages (from-to)868-877
Number of pages10
JournalIET Control Theory and Applications
Volume5
Issue number7
DOIs
Publication statusPublished - 2011

Keywords

  • Continuous-time system identification; Convergence analysis; Convergence properties; Instrumental variable methods; Numerical example; Convergence of numerical methods; Refining; Continuous time systems
  • instrumental variables (statistics)

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