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Classical Control Using H∞ Methods: Theory, Optimization and Design

Classical Control Using H∞ Methods: Theory, Optimization and Design

          
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About the Book

This text teaches control system design using H-infinity techniques that are simple and compatible with classical control, yet powerful enough to 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. The book is separated into modules so that the parts on theory can be read independently of the design parts and vice versa. The authors treat control design problems in a physically correct way. They present a small set of specific rules that the reader can apply to convert a particular design problem to the fundamental optimization problem of H-infinity control. This precisely formulated mathematics problem can then be solved on a computer. The book introduces the control software package OPTDesign, which allows the reader to reproduce the calculations done in the solved examples and try variations on them.

Table of Contents:

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


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    Product Details
    • ISBN-13: 9780898714197
    • Publisher: Society for Industrial & Applied Mathematics,U.S.
    • Publisher Imprint: Society for Industrial & Applied Mathematics,U.S.
    • Height: 228 mm
    • No of Pages: 308
    • Spine Width: 16 mm
    • Weight: 542 gr
    • ISBN-10: 0898714192
    • Publisher Date: 30 Sep 1998
    • Binding: Paperback
    • Language: English
    • Returnable: N
    • Sub Title: Theory, Optimization and Design
    • Width: 151 mm


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