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Advances in Dynamic Games and Applications pp 47–80Cite as

Birkhäuser

H∞Control of a Class of Infinite-Dimensional Linear Systems with nonlinear Outputs

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Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 5))

Abstract

For a class of infinite-dimensional linear systems with nonlinear outputs, and using a differential game-theoretic approach, we obtain a set of necessary and sufficient conditions for the existence of a state-feedback controller under which a given H ∞ bound (on disturbance attenuation) is achieved. Characterization of such a controller is given, and the result is applied to a disturbance attenuation problem with control constraints.

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Author information

Authors and Affiliations

  1. Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA

    Mingqing Xiao & Tamer Başar

Authors
  1. Mingqing Xiao
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  2. Tamer Başar
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Editor information

Editors and Affiliations

  1. Centre for Industrial and Applicable Mathematics School of Mathematics, University of South Australia, 5000, Adelaide, SA, Australia

    Jerzy A. Filar

  2. School of Mathematics, University of South Australia, 5000, Adelaide, SA, Australia

    Vladimir Gaitsgory

  3. Division of Mathematical and Information Sciences, Faculty of Integrated Arts and Sciences, Hiroshima University, 1-7-1, Kagamiyama, 739-8521, Higashi-Hiroshima City, Japan

    Koichi Mizukami

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© 2000 Springer Science+Business Media New York

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Xiao, M., Başar, T. (2000). H∞Control of a Class of Infinite-Dimensional Linear Systems with nonlinear Outputs. In: Filar, J.A., Gaitsgory, V., Mizukami, K. (eds) Advances in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 5. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1336-9_3

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  • DOI: https://doi.org/10.1007/978-1-4612-1336-9_3

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7100-0

  • Online ISBN: 978-1-4612-1336-9

  • eBook Packages: Springer Book Archive

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