Optimal Control Theory
An Introduction| By: | Donald E. Kirk |
| Publisher: | Independent Publishers Group (Chicago Review Press) |
| Print ISBN: | 9780486434841 |
| eText ISBN: | 9780486135076 |
| Edition: | 0 |
| Format: | Reflowable |
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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.