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Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering), by Donald E. Kirk
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Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. 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.
Chapters 1 and 2 focus on describing systems and evaluating their performances. Chapter 3 deals with dynamic programming. The calculus of variations and Pontryagin's minimum principle are the subjects of chapters 4 and 5, and chapter 6 examines iterative numerical techniques for finding optimal controls and trajectories. Numerous problems, intended to introduce additional topics as well as to illustrate basic concepts, appear throughout the text.
- Sales Rank: #184385 in Books
- Published on: 2004-04-30
- Released on: 2004-04-30
- Original language: English
- Number of items: 1
- Dimensions: 8.46" h x .98" w x 5.40" l, 1.07 pounds
- Binding: Paperback
- 480 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
24 of 24 people found the following review helpful.
Classic that never goes out of style
By Justin
My professor chose this book to use in an Optimal Control class partly because it is very affordable. On top of that, its contents are superb, giving very clear explanations of the fundamental principles underlying Optimal Control for nonlinear/linear systems.
Despite its long history, I would think that all material are still relevant, although there are available more "modern" numerical techniques (nonetheless, it's still always good to know how things were done "back in those days"). I would grade this as a must-have for the beginning student in Optimal Control. I have always been a fan of Dover books, publishing quality books at rock bottom prices. This one has just reinforced my liking of Dover Publishing.
17 of 17 people found the following review helpful.
Practical Excellent Introduction
By Pushkin Kachroo
It is an excellent "first book" which is very easy to read and covers broad range of topics: Dynamic Programming leading to Hamilton-Jacobi using Bellman's principle, Calculus of Variations, Hamiltonian Equations, Pontryagin's principle and finally numerical solutions (two point boundary value problems based and using direct methods from operations research methods).
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.
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