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Robust controllers for infinite-dimensional systems

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Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 185))

Abstract

This paper describes three theories for robust controller design for infinite-dimensional linear systems. They concern unstructured perturbations in the transfer function of additive, multiplicative and coprime-factor types. Explicit formulas are given for the maximal robustness margin, as well as for both infinite-dimensional and finite-dimensional robustly stabilizing controllers which achieve an a priori robustness margin.

This paper was written during the author’s sojourn at INRIA-Rocquencourt during January–June 1992.

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Authors and Affiliations

  1. Mathematics Institute, University of Groningen, P.O. Box 800, 9700 AV, Groningen, The Netherlands

    Ruth F. Curtain

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  1. Ruth F. Curtain
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R. F. Curtain A. Bensoussan J. L. Lions

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© 1993 Springer-Verlag

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Curtain, R.F. (1993). Robust controllers for infinite-dimensional systems. In: Curtain, R.F., Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems. Lecture Notes in Control and Information Sciences, vol 185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0115023

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  • DOI: https://doi.org/10.1007/BFb0115023

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  • Print ISBN: 978-3-540-56155-2

  • Online ISBN: 978-3-540-47480-7

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