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Learning, control and hybrid systems pp 416–431Cite as

Loopshaping by quadratic constraints on open-loop transfer functions

  • Part D Robust Control
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 241))

Abstract

The purpose of this note is to propose to execute loopshaping by imposing quadratic constraints on open-loop transfer functions. Quadratic constraints are defined to be consistent with feedback stable systems. Then, a robust stability analysis and a loopshaping method under quadratic constraints on open-loop transfer functions are given. Our results provide a general robustness of feedback systems in terms of open-loop transfer functions, including robustness based on gain and phase margins.

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Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, School of Engineering, Nagoya University, Furocho, Chikusaku, Nagoya, Japan

    Noboru Sakamoto

Authors
  1. Ichijyo Hodaka
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  2. Masayuki Suzuki
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  3. Noboru Sakamoto
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Editor information

Yutaka Yamamoto PhD Shinji Hara PhD

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© 1999 Springer-Verlag London Limited

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Cite this paper

Hodaka, I., Suzuki, M., Sakamoto, N. (1999). Loopshaping by quadratic constraints on open-loop transfer functions. In: Yamamoto, Y., Hara, S. (eds) Learning, control and hybrid systems. Lecture Notes in Control and Information Sciences, vol 241. Springer, London. https://doi.org/10.1007/BFb0109743

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  • DOI: https://doi.org/10.1007/BFb0109743

  • Published:

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-076-7

  • Online ISBN: 978-1-84628-533-2

  • eBook Packages: Springer Book Archive

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