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Odd-Harmonic High Order Repetitive Control

  • Germán A. RamosEmail author
  • Ramon Costa-Castelló
  • Josep M. Olm
Chapter
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 446)

Summary

HORC is mainly used to improve the repetitive control performance robustness under disturbance/reference signals with varying or uncertain frequency. Unlike standard repetitive control, the HORC involves a weighted sum of several signal periods. With a proper selection of the associated weights, this high order function offers a characteristic frequency response in which the high gain peaks located at harmonic frequencies are extended to a wider region around the harmonics. Furthermore, the use of an odd-harmonic internal model will make the system more appropriate for applications where signals have only odd-harmonic components, as in power electronics systems. This Chapter presents an Odd-harmonic High Order Repetitive Controller suitable for applications involving odd-harmonic type signals with varying/uncertain frequency. The open loop stability of internal models used in HORC and the one presented here is analysed. Additionally, as a consequence of this analysis, an anti-windup scheme for repetitive control is proposed.

Keywords

Unit Circle Nyquist Plot Internal Model Harmonic Frequency Iterative Learn Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Germán A. Ramos
    • 1
    Email author
  • Ramon Costa-Castelló
    • 2
  • Josep M. Olm
    • 3
  1. 1.Department of Electrical and Electronic EngineeringUniversidad Nacional de Colombia BogotáColombia
  2. 2.Escola Tècnica Superior d’Enginyeria Industrial de Barcelona (ETSEIB)Universitat Politècnica de Catalunya (UPC) BarcelonaSpain
  3. 3.Department of Applied Mathematics IV Universitat Politècnica de CatalunyaCastelldefelsSpain

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