Skip to content
Register Sign in Wishlist
Classical Control Using H-Infinity Methods

Classical Control Using H-Infinity Methods
Theory, Optimization, and Design

  • Date Published: January 1987
  • 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: 9780898714197

Paperback

Add to wishlist

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • This versatile book teaches control system design using H-Infinity techniques that are simple and compatible with classical control, yet powerful enough to quickly allow the solution of physically meaningful problems. The authors begin by teaching how to formulate control system design problems as mathematical optimization problems and then discuss the theory and numerics for these optimization problems. Their approach is simple and direct, and since the book is modular, the parts on theory can be read independently of the design parts and vice versa, allowing readers to enjoy the book on many levels. Until now, there has not been a publication suitable for teaching the topic at the undergraduate level. This book fills that gap by teaching control system design using H-Infinity techniques at a level within reach of the typical engineering and mathematics student. It also contains a readable account of recent developments and mathematical connections.

    Reviews & endorsements

    'The books by Helton and Merino contain a wealth of material that can be used by students and researchers in a variety of different ways, depending on background and interests. To enhance this modular flexibility, the authors offer two versions … Both versions contain introductory material, at an elementary level, on what control engineering is all about …' Joseph A. Ball, SIAM Review

    'This book, treating control system design using H-Infinity techniques and H-Infinity theory motivated by control applications, is a very good tool for a large number of people interested in control and in H^\infty theory, from undergraduate students and engineers to research mathematicians. Here the reader can find answers to practical and theoretical problems, even by a partial reading, because the book is written in a highly modular way …' I. Valusescu, Zentralblatt für Mathematik

    ' The authors make clear that a powerful and unified theory of H-Infinity design is beginning to emerge, but that much remains to be done. The present book is a welcome contribution that should help to publicize the important advances that have been made and their potential for solving a difficult class of engineering control design problems.' N. Harris McClamroch, Mathematical Reviews

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: January 1987
    • format: Paperback
    • isbn: 9780898714197
    • length: 308 pages
    • dimensions: 250 x 177 x 16 mm
    • weight: 0.537kg
    • 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

    Preface
    Part I. Short Design Course:
    1. A Method for Solving System Design Problems
    2. Internal Stability
    3. Frequency Domain Performance Requirements
    4. Optimization
    Review of Concepts
    5. A Design Example With OPTDesign
    Part II. More on Design:
    6. Examples
    7. Internal Stability
    Part III. H-Infinity Theory:
    8. H^\infty Optimization and Control
    10. Facts About Analytic Functions
    11. Proof of the Main Result
    12. Computer Solutions to OPT
    Part IV. H-Infinity Theory. Vector Case. 13. Many Analytic Functions
    14. Coordinate Descent Approaches to OPT
    15. More Numerical Algorithms
    16. More Theory of the Vector OPT Problem
    Part V. Semidefinite Programming vs. H-Infinity Optimization. 17. Matrix H-Infinity Optimization
    18. Numerical Algorithms for H-Infinity Optimization
    19. Semidefinite Programming vs. Matrix H-Infinity Optimization
    20. Proofs
    Part VI. Appendices: Appendix A. History and Perspective
    Appendix B. Pure Mathematics and H-Infinity Optimization
    Appendix C. Uncertainty
    Appendix D. Computer Code for Examples in 6
    Appendix E. Getting OPTDesign and Anopt
    Appendix F. Anopt Notebook
    Appendix G. NewtonInterpolant Notebook
    Appendix H. NewtonFit Notebook..

  • Authors

    J. William Helton, University of California, San Diego

    Orlando Merino, University of Rhode Island

Related Books

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×