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

J. William Helton (Author), Orlando Merino (Author)

9780898714197

Paperback / softback, published 30 September 1998

308 pages
22.8 x 15.1 x 1.6 cm, 0.542 kg

' 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

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.

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..

Subject Areas: Miscellaneous items [WZ]