Optimal Control with Aerospace Applications

Want to know not just what makes rockets go up but how to do itoptimally? Optimal control theory has become such an importantfield in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it.This is the first bookthat begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-by-step, and introduce the elementary computational techniques of optimal control.This book, with problems and an onlinesolution manual, provides the graduate-level reader withenough introductoryknowledge so that he or she can not only read the literature and study the next level textbook but can also apply the theory to find optimal solutions in practice. No more is needed than the usual background of an undergraduate engineering, science, or mathematics program: namely calculus, differential equations, and numerical integration. Although finding optimal solutions forthese problems is a complex process involving the calculus of variations, the authors carefully lay out step-by-step the most important theoremsand concepts. Numerous examples are worked to demonstrate how to apply the theories to everything from classical problems (e.g., crossing a river in minimum time) to engineering problems (e.g., minimum-fuel launch of a satellite).Throughout the bookuse is made of the time-optimal launch of a satellite into orbit as an important case study withdetailed analysis of two examples: launch from the Moon and launch from Earth.For launching into the field of optimal solutions, look no further!.