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
ISSN1598-6446
DOIs
Publication statusPublished - Sep 2019

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State estimation
Parameter estimation
Time varying systems
Observability
Electric potential
Invariance

Keywords

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

Cite this

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title = "A Filtered Transformation via Dynamic Matrix to State and Parameter Estimation for a Class of Second Order Systems",
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.",
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A Filtered Transformation via Dynamic Matrix to State and Parameter Estimation for a Class of Second Order Systems. / Tavan, Mehdi; Sabahi, Kamel ; Hajizadeh, Amin.

In: International Journal of Control, Automation and Systems, Vol. 17, No. 9, 09.2019.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A Filtered Transformation via Dynamic Matrix to State and Parameter Estimation for a Class of Second Order Systems

AU - Tavan, Mehdi

AU - Sabahi, Kamel

AU - Hajizadeh, Amin

PY - 2019/9

Y1 - 2019/9

N2 - 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.

AB - 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.

KW - Filtered transformation

KW - Immersion and invariance technique

KW - Non-square-integrability condition

KW - Parameter estimation

U2 - https://doi.org/10.1007/s12555-018-0098-6

DO - https://doi.org/10.1007/s12555-018-0098-6

M3 - Journal article

VL - 17

JO - International Journal of Control, Automation and Systems

JF - International Journal of Control, Automation and Systems

SN - 1598-6446

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