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Nonlinear unity-feedback systems and Q-parametrization

  • Session 5 Stability II
  • Conference paper
  • First Online:
Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 62))

Abstract

This paper concerns nonlinear systems, defines a new concept of stability and extends to unity-feedback systems the technique of Q-parametrization introduced by Zames and developed by Desoer, Chen and Gustafson. We specify 1) a global parametrization of all controllers that S-stabilize a given S-stable plant; 2) a parametrization of a class of controllers that stabilize an unstable plant; 3) necessary and sufficient conditions for a nonlinear controller to simultaneously stabilize two nonlinear plants.

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References

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering and Computer Sciences and the Electronics Research Laboratory, University of California, 94720, Berkeley, CA

    C. A. Desoer & C. A. Lin

Authors
  1. C. A. Desoer
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  2. C. A. Lin
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Editor information

A. Bensoussan J. L. Lions

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© 1984 Springer-Verlag

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Desoer, C.A., Lin, C.A. (1984). Nonlinear unity-feedback systems and Q-parametrization. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004956

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  • DOI: https://doi.org/10.1007/BFb0004956

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13551-7

  • Online ISBN: 978-3-540-39007-7

  • eBook Packages: Springer Book Archive

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