Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering) by Donald E. Kirk (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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.

⭐The front cover is messed up! But the book, what shall i say, Exceptional! This is one of the best books that I have read on control theory. The author has done an amazing job by writing in a lucid but complete fashion. Gone are the days when people knew how to write books that could be unterstood easily. Pure classic!

⭐This is a well-written, easy-to-follow text on deterministic optimal control. Lots of explanations, although somewhat tedious, e.g. many cases and pages for the boundary conditions in Pontryagin’s principle; [Flemming and Rishel] has one single theorem that covers them all. But [FR] is a math text, Kirk’s is an engineering text.The text is intended for undergraduate seniors and first-year graduates. There are selected answers to exercises.

⭐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.

⭐Very nice presentation on the subject. Enjoyable to read and easy to follow. Desciptions are concise and too the point. Book assumes reader has some background on modern control theory.

⭐I bought this book for my Optimal Control class and it was just amazing. Very fun to read and just enough depth so that you do not get overwhelm. Really suggest it to anyone who is interested in the subject or need background on Dynamic Optimization and Optimal control.

⭐Kirk is a great teacher writer and a master at connecting control theory with the calculus of variations

⭐Easy to read well written. Good book to have on hand if you need a reference or if you are taking a course with a text 10x its price that isn’t half as good.

⭐Ottimo libro anche se è stato stampato non di recente. Piuttosto complesso nella lettura.Ho trovato eccellente questo libro. Molto chiaro, tratta con rigore e spiega in modo approfondito i fondamenti della teoria del controllo ottimo.The book is very good on the subject. This is a book that was used during of of my couse on optimal control, but even there the course just used a little bit of the book. The book itself is very complete and explain the subject clearly.

⭐The book is absolute beauty for the beginners. It doesn’t assume that the reader has some or the other prior knowledge of the subject. It takes you through the journey of almost all the important material on optimal control. However, for practitioners, this may be a let down as it lacks advanced examples and real life problems.

⭐excellent content worth to buy. Concepts clearly illustrated

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