Optimal control of a double integrator : a primer on maximum principle
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...
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| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Switzerland :
Springer,
[2016]
|
| Series: | Studies in systems, decision and control ;
v. 68. |
| Subjects: | |
| ISBN: | 9783319421261 9783319421254 |
| Physical Description: | 1 online resource (x, 311 pages) : illustrations (some color) |
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Table of contents
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| 020 | |a 9783319421261 |q (electronic bk.) | ||
| 020 | |z 9783319421254 |q (print) | ||
| 024 | 7 | |a 10.1007/978-3-319-42126-1 |2 doi | |
| 035 | |a (OCoLC)954580457 |z (OCoLC)962390269 | ||
| 100 | 1 | |a Locatelli, Arturo, |e author. | |
| 245 | 1 | 0 | |a Optimal control of a double integrator : |b a primer on maximum principle / |c Arturo Locatelli. |
| 264 | 1 | |a Switzerland : |b Springer, |c [2016] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (x, 311 pages) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a počítač |b c |2 rdamedia | ||
| 338 | |a online zdroj |b cr |2 rdacarrier | ||
| 490 | 1 | |a Studies in systems, decision and control, |x 2198-4182 ; |v volume 68 | |
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a Intro; Preface; Contents; 1 Introduction; 2 The Maximum Principle; 2.1 Statement of the optimal control problems; 2.2 Necessary Conditions: Simple Constraints; 2.2.1 Purely Integral Performance Index; 2.2.2 Performance Index Function of the Final Event; 2.2.3 Non-standard Constraints on the Final State; 2.2.4 Minimum Time Problems; 2.3 Necessary Conditions: Complex Constraints; 2.3.1 Description of Complex Constraints; 2.3.2 Integral Constraints; 2.3.3 Punctual and Isolated Constraints; 2.3.4 Punctual and Global Constraints; 2.4 Necessary Conditions: Singular Arcs; 2.5 The Considered Problems | |
| 505 | 8 | |a 3 Simple Constraints: J=int, x(t0)=Given3.1 (x(tf), t0,tf)=Given; 3.2 (x(tf), t0)=Given, tf=Free; 3.3 x(tf)=NotGiven, (t0,tf)=Given; 3.4 x(tf)=NotGiven, t0=Given, tf=Free; 4 Simple Constraints: J=int, x(t0)=NotGiven; 4.1 (x(tf), t0,tf)=Given; 4.2 x(tf)=NotGiven, (t0,tf)=Given; 4.3 x(tf)=NotGiven, (t0,tf)=Free; 5 Simple Constraints: J=int+m, x(t0)=Given, x(tf)=NotGiven; 5.1 (t0,tf)=Given; 5.2 t0=Given, tf=Free; 6 Nonstandard Constraints on the Final State; 7 Minimum Time Problems; 8 Integral Constraints; 8.1 Integral Equality Constraints; 8.2 Integral Inequality Constraints | |
| 505 | 8 | |a 9 Punctual and Isolated Constrains10 Punctual and Global Constraints; 10.1 Punctual and Global Equality Constraints; 10.2 Punctual and Global Inequality Constraints; 11 Singular Arcs; 12 Local Sufficient Conditions; 12.1 x(tf)=PartiallyGiven, tf=Free; 12.2 x(tf)=Given, tf=Given; 12.3 x(tf)=Free, tf=Free; 12.4 x(tf)=Free, tf=Given; Appendix; References | |
| 506 | |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty | ||
| 520 | |a 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 way to 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 extremes, and optimal control has found its (appropriate yet limited) place within any curriculum in which system and control theory plays a significant role. | ||
| 590 | |a SpringerLink |b Springer Complete eBooks | ||
| 650 | 0 | |a Control theory. | |
| 655 | 7 | |a elektronické knihy |7 fd186907 |2 czenas | |
| 655 | 9 | |a electronic books |2 eczenas | |
| 830 | 0 | |a Studies in systems, decision and control ; |v v. 68. |x 2198-4182 | |
| 856 | 4 | 0 | |u https://proxy.k.utb.cz/login?url=https://link.springer.com/10.1007/978-3-319-42126-1 |y Plný text |
| 992 | |c NTK-SpringerENG | ||
| 999 | |c 99245 |d 99245 | ||
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