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Classical Control Using H-infinity Methods

Classical Control Using H-infinity Methods
An Introduction to Design


  • Date Published: August 1998
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714241

£ 27.99

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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About the Authors
  • One of the main accomplishments of control in the 1980s was the development of H8 techniques. This book teaches control system design using H8 methods. Students will find this book easy to use because it is conceptually simple. They will find it useful because of the widespread appeal of classical frequency domain methods. Classical control has always been presented as trial and error applied to specific cases; Helton and Merino provide a much more precise approach. This has the tremendous advantage of converting an engineering problem to one that can be put directly into a mathematical optimization package. After completing this course, students will be familiar with how engineering specs are coded as precise mathematical constraints.

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    Product details

    • Date Published: August 1998
    • format: Paperback
    • isbn: 9780898714241
    • length: 183 pages
    • dimensions: 250 x 176 x 10 mm
    • weight: 0.33kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Part I. Short Design Course:
    1. A Method for Solving System Design Problems
    Rational Functions
    The Closed Loop System S
    Designable Transfer Function
    A System Design Problem
    The Method
    2. Internal Stability
    Control and Stability
    Systems With a Stable Plant
    3. Frequency Domain Performance Requirements
    Measures of Performance
    Piecing Together Disk Inequalities
    More Performance Measures
    A Fully Constrained Problem
    4. Optimization
    Review of Concepts
    Generating a Performance Function
    Finding T With Best Performance
    Acceptable Performance Functions
    Performance Not of Circular Type
    Internal Stability and Optimization
    5. A Design Example With OPTDesign
    The Problem
    Optimization With OPTDesign
    Producing a Rational Compensator
    How Good is the Answer?
    Optimality Diagnostics
    Specifying Compensator Roll-off
    Reducing the Numerical Error
    Rational Fits
    Part II. More on Design:
    6. Examples
    Numerical Practicalities
    Design Example 1
    Time Domain Performance Requirements
    Design Example 2
    Performance for Competing Constraints
    7. Internal Stability
    Calculating Interpolants
    Plants With Simple RHP Zeros and Poles
    Parameterization. The General Case
    References and Further Reading
    Part III. Appendices: Appendix A. History and Perspective
    Appendix B. Getting OPTDesign and Anopt
    Appendix C. Anopt Notebook
    Appendix D. NewtonInterpolant Notebook
    Appendix E. NewtonFit Notebook.

  • Authors

    J. William Helton

    Orlando Merino

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