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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Bibliographic Details
Main Author Locatelli, Arturo (Author)
Format Electronic eBook
LanguageEnglish
Published Switzerland : Springer, [2016]
SeriesStudies in systems, decision and control ; v. 68.
Subjects
Control theory.
elektronické knihy
electronic books
Online AccessFull text
ISBN9783319421261
9783319421254
ISSN2198-4182 ;
Physical Description1 online resource (x, 311 pages) : illustrations (some color)

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Table of Contents:
  • 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
  • 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
  • 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

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