A sampled-data approach to pyragas-type delayed feedback stabilization of periodic orbits

Ahmet Cetinkaya, Tomohisa Hayakawa

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


A sampled-data Pyragas-type delayed feedback control framework is proposed for stabilizing both periodic solutions of linear periodic systems and unstable periodic orbits of nonlinear systems. The proposed framework uses the difference between two consecutive samples of the state as a feedback input. Furthermore, the controller is turned on and off periodically in an alternating fashion, allowing one to obtain a monodromy matrix for the closed-loop system. Asymptotic behavior of the closed-loop system state trajectories is investigated through an analysis of the obtained monodromy matrix. Then, an efficient feedback gain design method is developed by exploiting the properties of the monodromy matrix. Finally, the efficacy of the proposed framework is demonstrated with a numerical example.

Original languageEnglish
Article number8561189
Pages (from-to)3748-3755
Number of pages8
JournalIEEE Transactions on Automatic Control
Issue number9
Publication statusPublished - 2019 Sept
Externally publishedYes


  • Delayed feedback control
  • Sampled-data control
  • Unstable periodic orbits (UPOs)

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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