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Control and Modeling of Complex Systems pp 229–243Cite as

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Robust Stabilization of Chaos via Delayed Feedback Control

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Abstract

Delayed feedback control (DFC) is a useful method of stabilizing unstable fixed points of chaotic systems without their exact information. In this paper, we present a new recursive method for DFC, which enables us to easily design robust DFC. Since this recursive DFC is essentially dynamic feedback, it can overcome the so-called odd number limitation. Hence, it can robustly stabilize almost all unstable fixed points of chaotic systems.

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Authors and Affiliations

  1. Department of Systems and Human Science, Graduate School of Engineering Science Osaka University, Machikaneyama 1-3 Toyonaka, Osaka, 560-8531, Japan

    Shigeru Yamamoto & Toshimitsu Ushio

Authors
  1. Shigeru Yamamoto
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  2. Toshimitsu Ushio
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Editor information

Editors and Affiliations

  1. Department of Information Physics and Computing, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-8656, Japan

    Koichi Hashimoto

  2. Department of Mathematical Informatics, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo, 113-8656, Japan

    Yasuaki Oishi

  3. Department of Applied Analysis and Complex Dynamical Systems, Kyoto University, Yoshida-Honmachi, Sakyo-ku, Kyoto, 606-8501, Japan

    Yutaka Yamamoto

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Yamamoto, S., Ushio, T. (2003). Robust Stabilization of Chaos via Delayed Feedback Control. In: Hashimoto, K., Oishi, Y., Yamamoto, Y. (eds) Control and Modeling of Complex Systems. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0023-9_15

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  • DOI: https://doi.org/10.1007/978-1-4612-0023-9_15

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6577-1

  • Online ISBN: 978-1-4612-0023-9

  • eBook Packages: Springer Book Archive

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