Journal of Optimization Theory and Applications

, Volume 156, Issue 1, pp 127–140 | Cite as

A Survey on Fractional-Order Iterative Learning Control

  • Yan Li
  • YangQuan Chen
  • Hyo-Sung Ahn
  • Guohui Tian


In this paper, an overview of fractional-order iterative learning control (FOILC) is presented including main developments of this field since 2001. Many theoretical and experimental results are provided to show the advantages of FOILC such as the improvement of transient and steady-state performances. Some unique characters of fractional-order operators are illustrated to show the new features and techniques of FOILC. A number of unsolved problems are briefly presented.


Iterative learning control Fractional calculus Convergence speed Transient and steady-state performances Digital and analog implementations 


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Yan Li
    • 1
  • YangQuan Chen
    • 2
  • Hyo-Sung Ahn
    • 3
  • Guohui Tian
    • 1
  1. 1.School of Control Science and EngineeringShandong UniversityJinanP.R. China
  2. 2.School of EngineeringUniversity of CaliforniaMercedUSA
  3. 3.Department of MechatronicsGwangju Institute of Science and Technology (GIST)GwangjuKorea

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