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Modelling, Robustness and Sensitivity Reduction in Control Systems

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Ruth F. Curtain

    1. Mathematics Institute, University of Groningen, Groningen, The Netherlands

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Part of the book series: NATO ASI Subseries F: (NATO ASI F, volume 34)

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Table of contents (27 papers)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. H∞-Mathematical Foundations

    1. A Guide To H∞- Control Theory

      • Bruce A. Francis
      Pages 1-30

    2. Nonlinear Interpolation Theory in H∞

      • Joseph A. Ball, Ciprian Foias, J. William Helton, Allen Tannenbaum
      Pages 31-46

    3. Super-optimal Hankel norm approximations

      • N. J. Young
      Pages 47-56

    4. Hankel Norm Approximation for Infinite Dimensional Systems and Wiener-Hopf Factorization

      • A. C. M. Ran
      Pages 57-69

    5. Imaginary-Axis Zeros in Multivariable H∞-Optimal Control

      • Michael G. Safonov
      Pages 71-81

    6. A Polynomial Approach to H ∞ — Optimization of Control Systems

      • Huibert Kwakernaak
      Pages 83-94

  3. Model Approximation and Robustness in Control Design

    1. Bounds on the Achievable Accuracy in Model Reduction

      • Keith Glover, Jonathan R. Partington
      Pages 95-118

    2. Recent and New Results in Rational L2-Approximation

      • Laurent Baratchart
      Pages 119-126

    3. Design Examples Using μ-Synthesis: Space Shuttle Lateral Axis FCS During Reentry

      • John Doyle, Kathryn Lenz, Andy Packard
      Pages 127-154

    4. A Necessary and Sufficient Condition for Robustness of Stability Under Known Additive Perturbation

      • A. I. G. Vardulakis
      Pages 155-163

    5. Recursive Methods for Control Design Based on Approximate Models

      • David H. Owens
      Pages 165-172

    6. Performance-Robust Design via a multi-criteria/multi-model approach — a flight control case study

      • Georg Grübel, Dieter Joos
      Pages 173-195

  4. Modelling and Signal Processing

    1. Unfalsified Modelling in Dynamical Systems

      • Jan C. Willems
      Pages 197-209

    2. Approximative Inversion of Positive Matrices with Applications to Modelling

      • P. Dewilde, Ed. F. Deprettere
      Pages 211-238

    3. The periodic prediction problem for cyclostationary processes — an introduction

      • Sergio Bittanti
      Pages 239-249

  6. H∞-techniques

    1. An Application of H∞ — Design and Some Computational Improvements

      • I. Postlethwaite, D. W. Gu, S. D. O’Young, M. S. Tombs
      Pages 305-322
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Keywords

About this book

Historically, one of the basic issues in control systems design has been robustness: the ability of a controlled plant to withstand variations in or lack of knowledge of its dynamics. Even if the dynamics of a system are accurately known for purposes of implementation, it is often desirable to design a control system based on a simplified model. Consequently it is essential to be able to guarantee a reasonable performance not only for the nominal plant, but also for its neighbouring perturbations: this is the issue of robustness. Since the beginning of this decade major advances have been made in this area, notably using the H -approach; this term is meant to cover the solution of sensitivity reduction, approximation and model reduction, robustness and related control design problems using the mathematics of Hardy spaces and related areas in Harmonic Analysis. This book contains the proceedings of the NATO Advanced Research Workshop on "Modelling, Robustness and Sensitivity Reduction in Control Systems", which was held at the University of Groningen, December 1986. Its aim was to explore the development of H -design techniques and its ramifications in Systems Theory in a unified and systematic way with the emphasis on recent advances and future directions in this fast developing area. In particular the following inter-related aspects were addressed: H -mathematical foundations, model approximation and robustness in control design, optimal sensitivity reduction, modelling and system identification and signal processing.

Editors and Affiliations

  • Mathematics Institute, University of Groningen, Groningen, The Netherlands

    Ruth F. Curtain

Bibliographic Information

  • Book Title: Modelling, Robustness and Sensitivity Reduction in Control Systems

  • Editors: Ruth F. Curtain

  • Series Title: NATO ASI Subseries F:

  • DOI: https://doi.org/10.1007/978-3-642-87516-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-642-87518-2Published: 05 November 2012

  • eBook ISBN: 978-3-642-87516-8Published: 29 June 2013

  • Series ISSN: 0258-1248

  • Edition Number: 1

  • Number of Pages: IX, 494

  • Topics: Complexity, Simulation and Modeling

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