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Control and Modeling of Complex Systems pp 183–196Cite as

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Finite Frequency Characterization of Easily Controllable Plant toward Structure/Control Design Integration

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Part of the book series: Trends in Mathematics ((TM))

Abstract

This paper summarizes the authors’ recent results on finite frequency characterization of easily controllable plants under control effort constraint, the aim being the development of a new approach for plant/control design integration. We first show by a motivating example that the closed-loop bandwidth achievable with a reasonable control effort is closely related to the frequency range for which the plant is high-gain and exhibits positive-realness. We then present an LMI characterization of the finite frequency Kalman—Yakubovich—Popov (KYP) lemma and derive several related conditions. Finally, the conditions for the finite frequency positive-real (FFPR) and the finite frequency high-gain (FFHG) properties are shown.

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Author information

Authors and Affiliations

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

    Shinji Hara

  2. Department of Mechanical and Aerospace Engineering, University of Virginia, 122 Engineer’s Way, Charlottesville, P.O.Box 400746, VA 22904-4746, USA

    Tetsuya Iwasaki

Authors
  1. Shinji Hara
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  2. Tetsuya Iwasaki
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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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© 2003 Springer Science+Business Media New York

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Hara, S., Iwasaki, T. (2003). Finite Frequency Characterization of Easily Controllable Plant toward Structure/Control Design Integration. 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_12

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  • DOI: https://doi.org/10.1007/978-1-4612-0023-9_12

  • 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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