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

Ahmet Cetinkaya, Tomohisa Hayakawa

研究成果: Article査読

7 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号8561189
ページ(範囲)3748-3755
ページ数8
ジャーナルIEEE Transactions on Automatic Control
64
9
DOI
出版ステータスPublished - 2019 9月
外部発表はい

ASJC Scopus subject areas

  • 制御およびシステム工学
  • コンピュータ サイエンスの応用
  • 電子工学および電気工学

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