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Recent Advances in Learning and Control pp 35–50Cite as

Electrical and Mechanical Passive Network Synthesis

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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 371))

Abstract

The context of this paper is the application of electrical circuit synthesis to problems of mechanical control. The use of the electrical-mechanical analogy and the inerter mechanical element is briefly reviewed. Classical results from passive network synthesis are surveyed including Brune’s synthesis, Bott-Duffin’s procedure, Darlington’s synthesis, minimum reactance extraction and the synthesis of biquadratic functions. New results are presented on the synthesis of biquadratic functions which are realisable using two reactive elements and no transformers.

This research was partially supported by the Office of Naval Research under Grant N00014-02-1-0011, N00014-05-1-0186, and by the National Science Foundation under Grants ECS-0122412 and INT-0128656. The first author also acknowledges the support of the Faculty Startup Grant at the University of Maryland.

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Author information

Authors and Affiliations

  1. Department of Engineering, University of Cambridge, UK

    Michael Z. Q. Chen & Malcolm C. Smith

  2. University of Leicester, UK

    Michael Z. Q. Chen

Authors
  1. Michael Z. Q. Chen
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  2. Malcolm C. Smith
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Editor information

Editors and Affiliations

  1. Département d’Ingénierie Mathématique, Université catholique de Louvain, avenue Georges Lemaître, 4, B-1348, Louvain-la-Neuve, Belgium

    Vincent D. Blondel PhD

  2. Information Systems Laboratory Department of Electrical Engineering, Stanford University, Stanford, CA, 94305-9510, USA

    Stephen P. Boyd PhD

  3. Bio-Mimetic Control Research Center, RIKEN (The Institute of Physical and Chemical Research), Anagahora, Shimoshidami, Moriyama-ku, Nagoya, 463-0003, Japan

    Hidenori Kimura PhD

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Chen, M.Z.Q., Smith, M.C. (2008). Electrical and Mechanical Passive Network Synthesis. In: Blondel, V.D., Boyd, S.P., Kimura, H. (eds) Recent Advances in Learning and Control. Lecture Notes in Control and Information Sciences, vol 371. Springer, London. https://doi.org/10.1007/978-1-84800-155-8_3

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  • DOI: https://doi.org/10.1007/978-1-84800-155-8_3

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84800-154-1

  • Online ISBN: 978-1-84800-155-8

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