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Optimal N-Parametric Type Iterative Learning Control

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  • Control Theory and Applications
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Abstract

One of the most important problems in the field of the iterative learning control (ILC) is to design algorithms, in order to achieve a desired convergence rate. In this paper a new type of the ILC algorithm is introduced, which is called N-parametric type ILC with optimal gains. The convergence of the proposed algorithm is analyzed and an optimal design method is presented to determine its gains. The effect of the number of the parameters on the convergence rate of the presented ILC is investigated. It is shown that N parametric type of this ILC has a better performance than the N-1 one. Illustrative simulation examples are given to verify the theoretical analysis.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Tafresh University, Tehran Ave., Tafresh, Iran

    Ali Madady & Hamid-Reza Reza-Alikhani

  2. Department of Control Engineering, Boroujerd Branch Islamic Azad University, Boroujerd, Iran

    Sara Zamiri

Authors
  1. Ali Madady
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  2. Hamid-Reza Reza-Alikhani
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  3. Sara Zamiri
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Corresponding author

Correspondence to Ali Madady.

Additional information

Recommended by Associate Editor Changchun Hua under the direction of Editor Yoshito Ohta.

Ali Madady was born in Aqdash, Saveh, Iran in 1966. He received his B.Sc., M.Sc. and Ph.D. degrees in electrical and electronic engineering from Amir-Kabir University of Technology (Tehran Polytechnic), Iran, in 1989, 1993, and 2001, respectively. From 1991 to 1996, he was a part-time research member of Iranian Research Organization for Science and Technology (IROST). Also from 1994 to 2001, he was a part-time lecturer of Shamsipour Institute of Technology (SIT), Tehran, Iran. In 2001, he joined Tafresh University, Tafresh, Iran, where he is currently an Associate Professor and originator and head of Control Engineering Group. His research interests include iterative learning, adaptive control, robust control and nonlinear systems.

Hamid-Reza Reza-Alikhani was born in Tehran, Iran in 1952. He received his B.Sc. degree in Electrical and Electronic Engineering from Nottingham University, UK, in 1979, an M.Sc. degree in Power Electronics, and a Ph.D. in Digital Communication from Loughborough University, UK, in 1982 and 2000, respectively. He worked as an Electronics design Engineer in England. He is currently lecturing as an Assistant Professor in Tafresh University, Tafresh, Iran, as well as working as a design Engineer. His research interests include robotics control, iterative learning, neural networks, medical (physiotherapy) system design, power electronics, and image processing.

Sara Zamiri was born in Boroujerd, Iran in 1986. She received her B.Sc degree in electronic engineering and her M.Sc degree in control engineering from Islamic Azad University, in 2010 and 2013, respectively. Her research interests include iterative learning, adaptive and optimal control.

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Madady, A., Reza-Alikhani, HR. & Zamiri, S. Optimal N-Parametric Type Iterative Learning Control. Int. J. Control Autom. Syst. 16, 2187–2202 (2018). https://doi.org/10.1007/s12555-017-0259-z

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  • DOI: https://doi.org/10.1007/s12555-017-0259-z

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