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Titlebook: Optimal Control with Aerospace Applications; James M Longuski,José J. Guzmán,John E. Prussing Textbook 2014 Springer Science + Business Me

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发表于 2025-3-21 16:50:00 | 显示全部楼层 |阅读模式
书目名称Optimal Control with Aerospace Applications
编辑James M Longuski,José J. Guzmán,John E. Prussing
视频video
概述Begins from scratch to introduce the elementary computational techniques of optimal control in aerospace engineering.Includes concrete examples to demonstrate theories in a way that is understandable
丛书名称Space Technology Library
图书封面Titlebook: Optimal Control with Aerospace Applications;  James M Longuski,José J. Guzmán,John E. Prussing Textbook 2014 Springer Science + Business Me
描述 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
出版日期Textbook 2014
关键词Calculus of Variations; Constant Specific Impulse; MATLAB Code; Optimal Control Theory; Orbital Satelli
版次1
doihttps://doi.org/10.1007/978-1-4614-8945-0
isbn_softcover978-1-4939-4917-5
isbn_ebook978-1-4614-8945-0Series ISSN 0924-4263 Series E-ISSN 2542-8896
issn_series 0924-4263
copyrightSpringer Science + Business Media New York 2014
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General Theory of Optimal Rocket Trajectories,en introduced the concept of the primer vector, which plays a dominant role in minimum-propellant trajectories and also in other types of optimal trajectories. A more complete discussion of the topics in this chapter, including several example trajectories, is in Prussing [2010].
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Parameter Optimization,Two major branches of optimization are: parameter optimization and optimal control theory. In parameter optimization (a problem of finite dimensions, that is, where the parameters are not functions of time) we minimize a function of a finite number of parameters.
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The Weierstrass Condition,In Chap. 4 we noted that there are optimization problems that cannot be resolved by the Euler-Lagrange theorem alone. Pontryagin’s Minimum Principle often provides an additional condition that leads to a specific control law and to the solution of the problem. The most general form of the Minimum Principle is stated in Chap. 6 without proof.
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Some Applications,Why discuss aircraft performance in a text chiefly about optimization of spacecraft trajectories? Because aerospace engineers sometimes wish to capture the best of both worlds—as in the examples of Pegasus and SpaceShipOne which use aircraft as first stages and rockets as second stages to send vehicles into space.
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Bounded Control Problems,We recall that the general form of the minimization problem can be stated as
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978-1-4939-4917-5Springer Science + Business Media New York 2014
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