A Filtered Transformation via Dynamic Matrix to State and Parameter Estimation for a Class of Second Order Systems

Mehdi Tavan, Kamel Sabahi, Amin Hajizadeh

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The problem of state and parameter estimation for a class of second-order time-varying systems is addressed in this paper. Two classes of estimators are designed for the system under different observability assumptions. The design procedure is based on a filtered transformation via dynamic matrix. The dynamic of the matrix is derived using the Immersion and Invariance technique. Adaptive parameter convergence is guaranteed under a weaker condition than traditional persistency of excitation, called non-square-integrability condition. The proposed estimator is shown to be applicable to the input voltage and current estimation from the output voltage of the AC-DC boost converter.
Original languageEnglish
JournalInternational Journal of Control, Automation and Systems
Volume17
Issue number9
Pages (from-to)2242–2251
Number of pages10
ISSN1598-6446
DOIs
Publication statusPublished - Sep 2019

Keywords

  • Filtered transformation
  • Immersion and invariance technique
  • Non-square-integrability condition
  • Parameter estimation

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