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Fundamental Limitations in Filtering and Control

  • María M. Seron
  • Julio H. Braslavsky
  • Graham C. Goodwin
Book

Part of the Communications and Control Engineering book series (CCE)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 3-21
  3. Limitations in Linear Control

    1. Front Matter
      Pages 23-23
    2. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 25-46
    3. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 47-84
    4. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 85-117
    5. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 119-133
    6. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 135-159
  4. Limitations in Linear Filtering

    1. Front Matter
      Pages 161-161
    2. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 163-177
    3. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 179-195
    4. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 197-209
    5. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 211-228
    6. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 229-244
  5. Limitations in Nonlinear Control and Filtering

    1. Front Matter
      Pages 245-245
    2. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 247-254
    3. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 255-265
    4. María M. Seron, Julio H. Braslavsky, Graham C. Goodwin
      Pages 267-273
  6. Back Matter
    Pages 275-369

About this book

Introduction

This book deals with the issue of fundamental limitations in filtering and control system design. This issue lies at the very heart of feedback theory since it reveals what is achievable, and conversely what is not achievable, in feedback systems. The subject has a rich history beginning with the seminal work of Bode during the 1940's and as subsequently published in his well-known book Feedback Amplifier Design (Van Nostrand, 1945). An interesting fact is that, although Bode's book is now fifty years old, it is still extensively quoted. This is supported by a science citation count which remains comparable with the best contemporary texts on control theory. Interpretations of Bode's results in the context of control system design were provided by Horowitz in the 1960's. For example, it has been shown that, for single-input single-output stable open-loop systems having rela­ tive degree greater than one, the integral of the logarithmic sensitivity with respect to frequency is zero. This result implies, among other things, that a reduction in sensitivity in one frequency band is necessarily accompa­ nied by an increase of sensitivity in other frequency bands. Although the original results were restricted to open-loop stable systems, they have been subsequently extended to open-loop unstable systems and systems having nonminimum phase zeros.

Keywords

Extension MIMO Modulation control design development dynamical systems feedback filtering filters research robustness system design

Authors and affiliations

  • María M. Seron
    • 1
  • Julio H. Braslavsky
    • 1
  • Graham C. Goodwin
    • 1
  1. 1.Department of Electrical and Computer EngineeringUniversity of NewcastleNewcastleAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0965-5
  • Copyright Information Springer-Verlag London 1997
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4471-1244-0
  • Online ISBN 978-1-4471-0965-5
  • Series Print ISSN 0178-5354
  • Buy this book on publisher's site