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Titlebook: Optimal Control of a Double Integrator; A Primer on Maximum Arturo Locatelli Textbook 2017 Springer International Publishing Switzerland 2

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发表于 2025-3-21 18:54:28 | 显示全部楼层 |阅读模式
书目名称Optimal Control of a Double Integrator
副标题A Primer on Maximum
编辑Arturo Locatelli
视频video
概述Presents the basic issues of Pontryagin’s maximum principle in a reader-friendly yet rigorous way.Discusses in detail a broad range of problems, allowing readers to readily grasp all aspects of the to
丛书名称Studies in Systems, Decision and Control
图书封面Titlebook: Optimal Control of a Double Integrator; A Primer on Maximum  Arturo Locatelli Textbook 2017 Springer International Publishing Switzerland 2
描述.This book provides an introductory yet rigorous treatment of Pontryagin’s Maximum Principle and its application to optimal control problems when simple and complex constraints act on state and control variables, the two classes of variable in such problems. The achievements resulting from first-order variational methods are illustrated with reference to a large number of problems that, almost universally, relate to a particular second-order, linear and time-invariant dynamical system, referred to as the double integrator. The book is ideal for students who have some knowledge of the basics of system and control theory and possess the calculus background typically taught in undergraduate curricula in engineering..Optimal control theory, of which the Maximum Principle must be considered a cornerstone, has been very popular ever since the late 1950s. However, the possibly excessive initial enthusiasm engendered by its perceived capability to solve any kind of problem gave wayto its equally unjustified rejection when it came to be considered as a purely abstract concept with no real utility. In recent years it has been recognized that the truth lies somewhere between these two extreme
出版日期Textbook 2017
关键词Pontryagin Maximum Principle; Optimal Control Theory; Time-invariant Dynamical System; Continuous-time
版次1
doihttps://doi.org/10.1007/978-3-319-42126-1
isbn_softcover978-3-319-82504-5
isbn_ebook978-3-319-42126-1Series ISSN 2198-4182 Series E-ISSN 2198-4190
issn_series 2198-4182
copyrightSpringer International Publishing Switzerland 2017
The information of publication is updating

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Punctual and Isolated Constrains,raint-free situation is presented. We end this chapter by considering a problem which leads to a seemingly contradictory conclusion because the necessary conditions can not be satisfied, even if an optimal solution is shown to exist.
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Punctual and Global Constraints, partially specified or constrained to belong to a set which is not a regular variety; (3) the final time is given in one problem and is free in all the remaining ones; (4) other complex constraints (punctual and isolated equality constraints, integral inequality constraints) are also occasionally present.
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Simple Constraints: ,,mely we only require that (a) the final state is free or belongs to a regular variety, (b) the final time is either free or given, (c) the control variable is free or takes on values in a closed subset of the real numbers. In the considered problems we have the final time given or free.
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