Optimal control theory for applications

David G. Hull

400 pages, parution le 08/09/2003

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Résumé

The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.

Introduction to Optimization

Parameter Opimization
- Unconstrained Minimization
- Constrained Minimization: Equality Constraints
- Constrained Minimization: Inequality Constraints
- Minimization Using Matrix Notation

Optimal Control Theory
- Differentials in Optimal Control
- Controllability
- Simplest Optimal Control Problem
- Fixed Final Time: First Differential
- Fixed Final Time: Tests for a Minimum
- Fixed Final Time: Second Differential
- Fixed Final Time Guidance
- Free Final Time
- Parameters
- Free Initial Time and States
- Control Discontinuities
- Path Constraints

Approximate Solutions
- Approximate Solutions of Algebraic Equations
- Approximate Solutions of Differential Equations
- Approximate Solutions of Control Problems
- Conversion into a Parameter Optimization Problem

Appendix
References
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	David G. Hull
Parution	08/09/2003
Nb. de pages	400
Format	16 x 24
Couverture	Relié
Poids	695g
Intérieur	Noir et Blanc
EAN13	9780387400709
ISBN13	978-0-387-40070-9