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

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  • Control Theory and Applications
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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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Author information

Authors and Affiliations

  1. The Department of Electrical Engineering, Mahmudabad Branch, Islamic Azad University, Mahmudabad, Iran

    Mehdi Tavan

  2. The Department of Electrical Engineering, Mamaghan Branch, Islamic Azad University, Mamaghan, Iran

    Kamel Sabahi

  3. The Department of Energy Technology, Aalborg University, Esbjerg, Denmark

    Amin Hajizadeh

Authors
  1. Mehdi Tavan
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  2. Kamel Sabahi
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  3. Amin Hajizadeh
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Corresponding author

Correspondence to Mehdi Tavan.

Additional information

Recommended by Associate Editor Hongyi Li under the direction of Editor Fuchun Sun.

Mehdi Tavan received his B.Sc. degree in electrical and electronic engineering from Mazandaran University, Babol, Iran in 2007, and his M.Sc. (First Hons.) and Ph.D. (First Hons.) degrees both in control systems engineering from the Science and Research branch of Islamic Azad University, Tehran, Iran, in 2011 and 2016, respectively. He is currently an Assistant Professor with the Department of Electrical Engineering, Islamic Azad University of Mazandaran Province, Mahmudabad, Iran. His current research interests include nonlinear estimation and control with special emphasis on applications.

Kamel Sabahi received his B.S. and M.S. degrees from Ardabil and K.N.Toosi University of Technology, Iran, in 2006 and 2008, respectively, all in electrical engineering. He received his Ph.D. degree in 2016 from University of Tabriz, Iran. In 2015, he was a guest Ph.D. Student with the Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China. Currently, he is an Assistant Professor with the Department of Electrical Engineering, Islamic Azad University of East Azerbaijan Province, Mamaghan, Iran. His current research interests include control of power systems, soft computing, and time-delay control system.

Amin Hajizadeh received his B.S. degree from Ferdowsi University, Mashad, Iran, in 2002, and his M.S. (Hon.) and Ph.D. (Hon.) degrees from K.N.Toosi University of Technology, Tehran, Iran, in 2005 and 2010, respectively, all in electrical engineering. In 2009, he was a guest Ph.D. Student with the Department of Electrical Power Engineering, Norwegian University of Science and Technology, Trondheim, Norway. He was an Assistant Professor with the Shahrood University of Technology, Shahrood, Iran, from 2010 to 2014. Then, he held a post-doctoral position with the Norwegian University of Science and Technology, Trondheim, Norway, from 2015 to 2016. Since 2016, he has been an Associate Professor with the Department of Energy Technology, Aalborg University. His current research interests include control of distributed energy resources, design and control of power electronic converters for microgrid, and marine power systems.

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Tavan, M., Sabahi, K. & Hajizadeh, A. A Filtered Transformation via Dynamic Matrix to State and Parameter Estimation for a Class of Second Order Systems. Int. J. Control Autom. Syst. 17, 2242–2251 (2019). https://doi.org/10.1007/s12555-018-0098-6

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

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