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Optimal Control Theory: An Introduction (Prentice-Hall networks series), by Donald E. Kirk
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Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin’s minimum principle, and numerical techniques for trajectory optimization. The text focuses first on describing systems and evaluating their performances; then, it treats dynamic programming followed by the calculus of variations and Pontryagin’s minimum principle. Finally, there is an examination of iterative numerical techniques for finding optimal controls and trajectories. Numerous problems, which introduce additional topics and illustrate basic concepts, appear throughout the text. 1970 ed. 131 figures. 14 tables. Index. Solution guide available upon request.
- Sales Rank: #1515404 in Books
- Published on: 1970-06
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 452 pages
About the Author
Dr. Donald E. Kirk is Dean Emeritus of the College of Engineering of San Jose State University.
Most helpful customer reviews
7 of 7 people found the following review helpful.
Student's review
By Peter, graduate student
I used this book for graduate course about Optimal control. It is written in very good style, friendly for everyone who is new to the topic. Optimal control theory seems very difficult in the first view, but this book can help doing the first steps.
The book starts with explaining why optimal control theory is important. Then it builds static optimizing theory. After these simpler parts are clearly explained, the calculus of variations and the dynamic optimization is introduced. The last part is numerical techniques for finding optimal control.
In my opinion this book explains, for example, the deriving of Riccati equation in the best way I have ever read. I can say that I finally understand where Riccati equation comes from. :)
Every section of the book is supported with several examples that help understanding the theory.
I recommend this book for everyone who wants to understand the optimal control theory fundamentals. It is especially suitable for those who are new to the topic.
5 of 5 people found the following review helpful.
They use the notations of modern mathematics like set theory that I never learned the first time ...
By Jack W. Crenshaw
Some books on Optimal Control seem to be written for people who have been studying it and using it for decades. They use the notations of modern mathematics like set theory that I never learned the first time around. This book is different. It's an excellent introduction for those of us who know math, including vector and matrix calculus, but don't "speak the lingo" of professionals in the field. I've been looking for decades for a book that speaks MY language, and doesn't try to snow me with a lot of lemmas and proofs.
I think I've found it.
52 of 53 people found the following review helpful.
A Global Optimum of Optimal Control Books
By Flavio Cipparrone
This book is very reader friendly. It introduces Dynamic Programming, Variational Calculus, Pontryagin Minimum Principle and in its final section some Numerical Methods. Despite being published in the seventies, this is a truly GOOD CLASSIC (there are bad classics).
In my opinion, to the student, Kirk is superior to Citron, to Athans and to Lewis (this is more recent), that is, this book is more concerned about teaching people. Athans is more encyclopedic but much more time-consuming to read.
With Kirk you will really learn the elements of optimal control theory.
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