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Want to know not just what makes rockets go up but how to do it
optimally? Optimal control theory has become such an important
field in aerospace engineering that no graduate student or
practicing engineer can afford to be without a working knowledge of
it. This is the first book that 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 online solution manual, provides the graduate-level
reader with enough introductory knowledge 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 for these problems is a complex process involving
the calculus of variations, the authors carefully lay out
step-by-step the most important theorems and 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 book use is made of the time-optimal
launch of a satellite into orbit as an important case study with
detailed analysis of two examples: launch from the Moon and launch
from Earth. For launching into the field of optimal solutions, look
no further!
Want to know not just what makes rockets go up but how to do it
optimally? Optimal control theory has become such an important
field in aerospace engineering that no graduate student or
practicing engineer can afford to be without a working knowledge of
it. This is the first book that 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 online solution manual, provides the graduate-level
reader with enough introductory knowledge 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 for these problems is a complex process involving
the calculus of variations, the authors carefully lay out
step-by-step the most important theorems and 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 book use is made of the time-optimal
launch of a satellite into orbit as an important case study with
detailed analysis of two examples: launch from the Moon and launch
from Earth. For launching into the field of optimal solutions, look
no further!
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