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Digital Controller Implementation and Fragility

A Modern Perspective

  • Book
  • © 2001

Overview

Editors:
  1. Robert S. H. Istepanian

    1. Department of Electronic and Computer Engineering, Brunel University, Uxbridge, Middlesex, UK

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  2. James F. Whidborne

    1. Department of Mechanical Engineering, King’s College London, London, UK

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    You can also search for this editor in PubMed   Google Scholar

  • Presents the latest advances in the design methodologies and implementation issues of digital controller structures
  • Assembles a number of contributions from distinctive researchers working in these areas to present a state-of-the-art view of the issues concerning the implementation of modern advanced controllers

Part of the book series: Advances in Industrial Control (AIC)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xix
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  2. Finite-Precision Computing for Digital Control Systems: Current Status and Future Paradigms

    • Robert S. H. Istepanian, James F. Whidborne
    Pages 1-12

  3. Stability Margins and Digital Implementation of Controllers

    • Lee H. Keel, Shankar P. Bhattacharyya
    Pages 13-24

  4. Finite Word-Length Effects in Systems with Fast Sampling

    • Ryszard Gessing
    Pages 25-42

  5. Implementation of a Class of Low Complexity, Low Sensitivity Digital Controllers Using Adaptive Fixed-Point Arithmetic

    • Darrell Williamson
    Pages 43-74

  6. Convexity and Diagonal Stability: an LMI Approach to Digital Filter Implementation

    • StĂ©phane Dussy
    Pages 75-86

  7. The Determination of Optimal Finite-Precision Controller Realisations Using a Global Optimisation Strategy: A Pole-Sensitivity Approach

    • Sheng Chen, Jun Wu
    Pages 87-104

  8. Computational Algorithms for Sparse Optimal Digital Controller Realisations

    • Ian J. Fialho, Tryphon T. Georgiou
    Pages 105-121

  9. On the Structure of Digital Controllers in Sampled-Data Systems with Stability Consideration

    • Gang Li
    Pages 123-142

  10. An Evolutionary Algorithm Approach to the Design of Finite Word-Length Controller Structures

    • James F. Whidborne, Robert S. H. Istepanian
    Pages 143-160

  11. Non-fragile Robust Controller Design

    • Pertti M. Mäkilä, Juha Paattilammi
    Pages 161-181

  12. Robust Resilient Controller Design

    • Wassim M. Haddad, Joseph R. Corrado
    Pages 183-211

  13. Robust Non-Fragile Controller Design for Discrete Time Systems with FWL Consideration

    • Guang-Hong Yang, Jian Liang Wang, Yeng Chai Soh
    Pages 213-228

  14. Synthesis of Controllers with Finite-Precision Considerations

    • Mauricio C. de Oliveira, Robert E. Skelton
    Pages 229-251

  15. Quantisation Errors in Digital Implementations of Fuzzy Controllers

    • InĂ©s del Campo, JosĂ© M. Tarela, Koldo Basterretxea
    Pages 253-274

  16. Back Matter

    Pages 275-277
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Keywords

About this book

In the usual process of control system design, the assumption is made that the controller is implemented exactly. This assumption is usually reasonable, since clearly, the plant uncertainty is the most significant source of uncertainty in the control system, while controllers are implemented with high-precision hardware. However, inevitably, there will be some amount of uncertainty in the controller, a fact that is largely ignored in existing modern advanced robust control techniques. If the controller is implemented by analogue means, there are some tolerances in the analogue components. More commonly, the controller will be implemented digitally, and consequently there will be uncertainty involved with the quantization in the analogue-digital conversion and rounding in the parameter representation and in the numerical computations. A failure to account for these uncertainties in the controller may result in a controller that is "fragile". A controller is fragile in the sense that very small perturbations in the coefficients of the designed controller destabilize the closed-loop control system.
This book collects a number of articles which consider the problems of finite-precision computing in digital controllers and filters. Written by leading researchers, topics that the book covers include:
- analysis of fragility and finite-precision effects;
- design of optimal controller realizations;
- design of non-fragile robust controllers;
- design of low-complexity digital controllers;
- analysis of quantization effects in fuzzy controllers.

Editors and Affiliations

  • Department of Electronic and Computer Engineering, Brunel University, Uxbridge, Middlesex, UK

    Robert S. H. Istepanian

  • Department of Mechanical Engineering, King’s College London, London, UK

    James F. Whidborne

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