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.
Sprache
Verlagsort
Verlagsgruppe
Cambridge University Press
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Produkt-Hinweis
Maße
Höhe: 250 mm
Breite: 177 mm
Dicke: 16 mm
Gewicht
ISBN-13
978-0-89871-419-7 (9780898714197)
Schweitzer Klassifikation
Autor*in
University of California, San Diego
University of Rhode Island
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.
