Nonlinear Data-Driven Control for Stabilizing Periodic Orbits

Ahmet Cetinkaya, Masako Kishida

研究成果: Conference contribution

抄録

In this paper, we propose a data-driven control framework for locally stabilizing unstable periodic orbits of discrete-time nonlinear systems. Specifically, we explore the scenarios where the locations of the orbits are not precisely known. In our framework, we use a Pyragas-type delayed feedback controller. This controller uses the difference between the current state and a delayed version of the state as feedback to the system. We show that the system under our controller can be described by another nonlinear system with a particular structure. The periodic orbit stabilization problem for the original system is then characterized as an equilibrium stabilization problem for the new system. For this new system, we investigate local exponential stabilization while paying special attention to situations where neither the location of the equilibrium nor the linearized dynamics around that equilibrium are precisely known. To handle such cases, we develop a data-driven framework that accounts for the scenarios where the difference between the state and the equilibrium is not observable. In our framework, we design the gain of a stabilizing controller by using the data generated through a nonlinear projection of the state.

本文言語English
ホスト出版物のタイトル60th IEEE Conference on Decision and Control, CDC 2021
出版社Institute of Electrical and Electronics Engineers Inc.
ページ4326-4331
ページ数6
ISBN(電子版)9781665436595
DOI
出版ステータスPublished - 2021
外部発表はい
イベント60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States
継続期間: 2021 12月 132021 12月 17

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
2021-December
ISSN(印刷版)0743-1546
ISSN(電子版)2576-2370

Conference

Conference60th IEEE Conference on Decision and Control, CDC 2021
国/地域United States
CityAustin
Period21/12/1321/12/17

ASJC Scopus subject areas

  • 制御およびシステム工学
  • モデリングとシミュレーション
  • 制御と最適化

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