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Parametrizations in Control, Estimation and Filtering Problems: Accuracy Aspects

  • Book
  • © 1993

Overview

Authors:
  1. Michel Gevers

    1. Centre for Systems Engineering and Applied Mechanics (CESAME), Université Catholique de Louvain, Bâtiment Euler, Louvain-la-Neuve, Belgium

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  2. Gang Li

    1. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore

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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xv
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  2. Introduction

    • Michel Gevers, Gang Li
    Pages 1-21

  3. Finite Word Length errors and computations

    • Michel Gevers, Gang Li
    Pages 23-44

  4. Parametrizations in digital system design

    • Michel Gevers, Gang Li
    Pages 45-83

  5. Frequency weighted optimal design

    • Michel Gevers, Gang Li
    Pages 85-107

  6. A new transfer function sensitivity measure

    • Michel Gevers, Gang Li
    Pages 109-125

  7. Pole and zero sensitivity minimization

    • Michel Gevers, Gang Li
    Pages 127-158

  8. A synthetic sensitivity — roundoff design

    • Michel Gevers, Gang Li
    Pages 159-181

  9. Sparse optimal and suboptimal realizations

    • Michel Gevers, Gang Li
    Pages 183-215

  10. Parametrizations in control problems

    • Michel Gevers, Gang Li
    Pages 217-259

  11. Synthetic FWL compensator design

    • Michel Gevers, Gang Li
    Pages 261-287

  12. Parametrizations in the Delta operator

    • Michel Gevers, Gang Li
    Pages 289-318

  13. Generalized transfer function parametrizations for adaptive estimation

    • Michel Gevers, Gang Li
    Pages 319-358

  14. Back Matter

    Pages 359-373
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Keywords

About this book

This book is all about finite wordlength errors in digital filters, con­ trollers and estimators, and how to minimize the deleterious effects of these errors on the performance of these devices. This does by no means imply that all about finite wordlength errors in filters, controllers and estimators is to be found in this book. We first ventured into the world of finite wordlength effects in 1987 when Gang Li began his PhD thesis in this area. Our more experienced readers might well say 'This shows', but we believe that the extent of our new contributions largely offsets our relative inexperience about the subject that might surface here and there in the book. Our naive view on the subject of finite wordlength errors in 1987 could probably be summarized as follows: • numerical errors due to finite wordlength encoding and roundoff are something that one has to live with, and there is probably not much that can be done about them except to increase the wordlength by improvements on the hardware; • these errors are as old as finite arithmetic and numerical analysis and they must therefore be well understood by now; • thus, if something can be done to minimize their effects, it must have been analysed and put into practice a long time ago. It is almost fair to say that we were wrong on all counts.

Authors and Affiliations

  • Centre for Systems Engineering and Applied Mechanics (CESAME), Université Catholique de Louvain, Bâtiment Euler, Louvain-la-Neuve, Belgium

    Michel Gevers

  • School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore

    Gang Li

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