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H -Control Theory

Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Como, Italy, June 18-26, 1990

  • Conference proceedings
  • © 1991

Overview

Authors:
  1. Ciprian Foias

    1. Department of Mathematics, Indiana University, Bloomington, USA

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  2. Bruce Francis

    1. Department of Electrical Engineering, University of Toronto, Toronto, Canada

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  3. J. William Helton

    1. University of California, San Diego, La Jolla, USA

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  4. Huibert Kwakernaak

    1. Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands

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  5. J. Boyd Pearson

    1. Department of Electrical and Computer Engineering, Rice University, Houston, USA

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Editors:
  1. Edoardo Mosca

    1. Dipartimento di Sistemi e Informatica, Università di Firenze, Firenze, Italy

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  2. Luciano Pandolfi

    1. Dipartimento di Matematica, Politecnico di Torino, Torino, Italy

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1496)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (8 papers)

  1. Front Matter

    Pages i-vii
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  2. Commutant lifting techniques for computing optimal H∞ controllers

    • Ciprian Foias
    Pages 1-36

  3. Lectures on H ∞ control and sampled-data systems

    • Bruce Francis
    Pages 37-105

  4. Two topics in systems engineering: Frequency domain design and nonlinear systems

    • J. William Helton
    Pages 106-140

  5. The polynomial approach to H ∞-optimal regulation

    • Huibert Kwakernaak
    Pages 141-221

  6. Notes on l 1-optimal control

    • J. B. Pearson
    Pages 222-249

  7. On the hamiltonian structure in the computation of singular values for a class of Hankel operators

    • P. A. Fuhrmann
    Pages 250-276

  8. Nehari interpolation problem for rational matrix functions: The generic case

    • Joseph A. Ball, Israel Gohberg, Leiba Rodman
    Pages 277-308

  9. Time variant extension problems of Nehari type and the band method

    • I. Gohberg, M. A. Kaashoek, H. J. Woerdeman
    Pages 309-323

  10. Back Matter

    Pages 324-337
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Keywords

About this book

The fundamental problem in control engineering is to provide robust performance to uncertain plants. H -control theory began in the early eighties as an attempt to lay down rigorous foundations on the classical robust control requirements. It now turns out that H -control theory is at the crossroads of several important directions of research space or polynomial approach to control and classical interpolation theory; harmonic analysis and operator theory; minimax LQ stochastic control and integral equations. The book presents the underlying fundamental ideas, problems and advances through the pen of leading contributors to the field, for graduate students and researchers in both engineering and mathematics. From the Contents: C. Foias: Commutant Lifting Techniques for Computing Optimal H Controllers.- B.A. Francis: Lectures on H Control and Sampled-Data Systems.- J.W. Helton: Two Topics in Systems Engineering Frequency Domain Design and Nonlinear System.- H. Kwakernaak: The Polynomial Approach to H -Optimal Regulation.- J.B. Pearson: A Short Course in l - Optimal Control

Authors, Editors and Affiliations

  • Dipartimento di Sistemi e Informatica, Università di Firenze, Firenze, Italy

    Edoardo Mosca

  • Dipartimento di Matematica, Politecnico di Torino, Torino, Italy

    Luciano Pandolfi

  • Department of Mathematics, Indiana University, Bloomington, USA

    Ciprian Foias

  • Department of Electrical Engineering, University of Toronto, Toronto, Canada

    Bruce Francis

  • University of California, San Diego, La Jolla, USA

    J. William Helton

  • Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands

    Huibert Kwakernaak

  • Department of Electrical and Computer Engineering, Rice University, Houston, USA

    J. Boyd Pearson

Bibliographic Information

  • Book Title: H -Control Theory

  • Book Subtitle: Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Como, Italy, June 18-26, 1990

  • Authors: Ciprian Foias, Bruce Francis, J. William Helton, Huibert Kwakernaak, J. Boyd Pearson

  • Editors: Edoardo Mosca, Luciano Pandolfi

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0084465

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1991

  • Softcover ISBN: 978-3-540-54949-9Published: 08 January 1992

  • eBook ISBN: 978-3-540-46604-8Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 328

  • Topics: Applications of Mathematics, Systems Theory, Control, Calculus of Variations and Optimal Control; Optimization, Analysis

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