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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

  • Ciprian Foias
  • Bruce Francis
  • J. William Helton
  • Huibert Kwakernaak
  • J. Boyd Pearson
  • Edoardo Mosca
  • Luciano Pandolfi

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

Table of contents

  1. Front Matter
    Pages i-vii
  2. Huibert Kwakernaak
    Pages 141-221
  3. J. B. Pearson
    Pages 222-249
  4. Joseph A. Ball, Israel Gohberg, Leiba Rodman
    Pages 277-308
  5. I. Gohberg, M. A. Kaashoek, H. J. Woerdeman
    Pages 309-323
  6. Back Matter
    Pages 324-337

About these proceedings

Introduction

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

Keywords

Control theory calculus equation function interpolation theory mathematics operator theory

Authors and affiliations

  • Ciprian Foias
    • 1
  • Bruce Francis
    • 2
  • J. William Helton
    • 3
  • Huibert Kwakernaak
    • 4
  • J. Boyd Pearson
    • 5
  1. 1.Department of MathematicsIndiana UniversityBloomingtonUSA
  2. 2.Department of Electrical EngineeringUniversity of TorontoTorontoCanada
  3. 3.University of California, San DiegoLa JollaUSA
  4. 4.Department of Mathematics and Computer ScienceEindhoven University of TechnologyEindhovenThe Netherlands
  5. 5.Department of Electrical and Computer EngineeringRice UniversityHoustonUSA

Editors and affiliations

  • Edoardo Mosca
    • 1
  • Luciano Pandolfi
    • 2
  1. 1.Dipartimento di Sistemi e InformaticaUniversità di FirenzeFirenzeItaly
  2. 2.Dipartimento di MatematicaPolitecnico di TorinoTorinoItaly

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084465
  • Copyright Information Springer-Verlag Berlin Heidelberg 1991
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-54949-9
  • Online ISBN 978-3-540-46604-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site