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Linear multivariable feedback theory

  • Session 2 A Algebraic And Geometric System Theory
  • Conference paper
  • First Online:
Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 44))

Abstract

Ways are discussed of using singular-value decompositions of operator-valued functions of the complex frequency variable in the analysis and design of linear multivariable feedback systems. The local and global behaviour of such a decomposition is briefly discussed. Ways in which phase information may be added to singular values are considered, and the use of a particular method — the Quasi-Nyquist decomposition — is developed for use in design.

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References

  1. Postlethwaite, I. and MacFarlane, A.G.J.: A complex variable approach to the analysis of linear multivariable feedback systems, Lecture Notes in Control and Information Sciences, 12, Springer-Verlag, New York, 1979.

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Author information

Authors and Affiliations

  1. Engineering Department, University of Cambridge, CB2 1RX, Cambridge, England

    A. G. J. MacFarlane

Authors
  1. A. G. J. MacFarlane
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Editor information

A. Bensoussan J. L. Lions

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© 1982 Springer-Verlag

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MacFarlane, A.G.J. (1982). Linear multivariable feedback theory. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 44. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0044381

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  • DOI: https://doi.org/10.1007/BFb0044381

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12089-6

  • Online ISBN: 978-3-540-39526-3

  • eBook Packages: Springer Book Archive

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