Design of robust repetitive control system for multiple periods

M. Yamada*, Z. Riadh, Y. Funahashi

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

39 Citations (Scopus)


In this paper, a new approach to regulate quickly any periodic signals with multiple periods is proposed. The contributions are as follows. First, the proposed multiple repetitive controller not only can be implemented with much less memory elements than the previous ones but also can provide much faster convergence of the controlled error to zero. Secondly, the proposed repetitive controller can assign all poles of the system on a disk with a given radius whose center is the origin. Thirdly, the proposed controller is obtained in an explicit form and the design method requires to solve no equation. Fourthly, the robustness of the system is improved by introducing a low pass zero phase filter.

Original languageEnglish
Pages (from-to)3739-3744
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 2000
Externally publishedYes
Event39th IEEE Confernce on Decision and Control - Sydney, NSW, Australia
Duration: Dec 12 2000Dec 15 2000

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization


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