- Paperback: 102 pages
- Publisher: Collegiate Publishers (November 13, 2009)
- Language: English
- ISBN-10: 0984357106
- ISBN-13: 978-0984357109
- Product Dimensions: 6 x 0.2 x 9 inches
- Shipping Weight: 5 ounces
- Average Customer Review: 9 customer reviews
- Amazon Best Sellers Rank: #3,003,459 in Books (See Top 100 in Books)
A Primer on Pontryagin's Principle in Optimal Control
Customers who bought this item also bought
About the Author
I. Michael Ross is a Professor and Program Director of Control and Optimization at the Naval Postgraduate School. A Fellow of the AAS, he is the author of DIDO (http://www.ElissarGlobal.com), the world's #1 software for solving optimal control problems. In 2006, NASA used DIDO to successfully maneuver the International Space Station in an optimal manner - zero fuel! In 2010, Ross received the AIAA Mechanics and Control of Flight for "changing the landscape of flight mechanics." His research contributions to pseudospectral optimal control theory have been translated to Russian, German, Chinese and Japanese and are taught at universities in US, Europe and Asia. A Founding Book Review Editor for the Journal of Guidance, Control and Dynamics, Ross consults for businesses in aerospace engineering, chemical engineering, and energy harvesting in the areas of optimal control theory and computation.
Browse award-winning titles. See more
Top customer reviews
There was a problem filtering reviews right now. Please try again later.
The preface forewarns us, the author says something like "I show first, then explain after". And show he does! In fact, I believe the book deserves five stars for the showing. Prof. Ross takes a four front approach to educate us: lots of drawings and figures, a good amount math, a good amount of "simulation code" (for the Dido program), and a good amount of text. Anybody who has tried to write educational material knows that getting such a multi-view approach right is not easy. And here I need to say that that the book could do with a re-edit to bring everything together better. And therefore my "only" four start grading. Nevertheless, the content is good, especially when you take it as an engineering textbook and not a math book. This is book about understanding the principals and a tool, the difficulties and the solutions, and with such a focus it does very well. Also in a re-edit I would take out the overly self praise about the Dido program: let the student's learn if the tool is good!
I also liked the layout of the book: key equations are highlighted in grey, while notation and terminology alerts are boxed when there is a possibility of confusion and a need to pay extra attention.
After reading the Preface, I got the free version of DIDO to solve some of the problems given in Chapter 4. This was a great learning experience.
Despite the technical nature of this book, it was interesting to find humor in odd places.
All in all, a great introductory book! Five stars!!
If you want to learn how to prove Minimum Principle, get a different book. If you want to know how to apply optimal control (Minimum Principle) on solving engineering problems, this one is for you.
He begins chapter 2 with his famous line, “You want proof? You can’t handle the proof!” I’m ok with this because I don’t understand the “real proof” anyway. But I must say that I understand Pontryagin’s Principle better now because Ross has a new take on costates. I didn’t know I was using costates in my daily life when I was counting calories in my sandwich! Trust me, this is a real example in this book!
The book contains lots of example problems and solutions. I followed the worked out examples but had difficulty with some of the study problems. There are many other problems in this book with solutions, which are quite good, but he doesn’t explain how he got them. One new feature of the second edition is that there are a lot of example problems with DIDO solutions. A few problems have solutions from other MATLAB solvers too. I tried solving a couple of these problems and didn’t quite get them exactly the way he has it in his book, so I don’t know what I’m doing wrong.
If you want a book with “theorems and proofs”, this book is NOT for you. If you simply want to understand optimal control, then there is no other book like this one. If you already understand optimal control but want a quick go-to guide, you do not need to buy this book; just download the “Pontryagin’s Principle” chapter for free from the Elissar Global website. There are a few obvious typos here and there but it didn’t bother me too much.