Stabilizing unstable periodic orbits with delayed feedback control in act-and-wait fashion

Ahmet Cetinkaya, Tomohisa Hayakawa, Mohd Amir Fikri bin Mohd Taib

研究成果: Article査読

5 被引用数 (Scopus)

抄録

A delayed feedback control framework for stabilizing unstable periodic orbits of linear periodic time-varying systems is proposed. In this framework, act-and-wait approach is utilized for switching a delayed feedback controller on and off alternately at every integer multiples of the period of the system. By analyzing the monodromy matrix of the closed-loop system, we obtain conditions under which the closed-loop system's state converges towards a periodic solution under our proposed control law. We discuss the application of our results in stabilization of unstable periodic orbits of nonlinear systems and present numerical examples to illustrate the efficacy of our approach.

本文言語English
ページ(範囲)71-77
ページ数7
ジャーナルSystems and Control Letters
113
DOI
出版ステータスPublished - 2018 3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(全般)
  • 機械工学
  • 電子工学および電気工学

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