Modelling for optimal control systems. A tutorial review
type: Item
instance of: scholarly article
title: Modelling for optimal control systems. A tutorial review
zbMATH Open document ID: 0862.49001
published in: Surveys on Mathematics for Industry
publication date: 1996-02-18T00:00:00Z
review text: This interesting exposition does not only survey and compare the main approaches to optimal control problems but discusses also the role of appropriate modelling in this context. After a short introduction to control problems the formalization of optimization problems is discussed in some detail, including the role of control and state constraints. An overview on solution methods for optimal control problems is given focusing on the maximum principle and dynamic programming, and the main approaches are illustrated by numerical examples from various areas of applications. Parameter optimization is discussed from the point of view of control applications and a comparison of methods and programs is given based on numerical experiences. Returning to modelling, some emphasis is devoted to indicating how appropriate choice or transformation of variables can be used to set up a mathematical model which is well suited for numerical treatment and yet reflects all demands from application. The paper reflects the comprehensive experience of the author with all aspects of engineering oriented modelling and optimization.
reviewed by: D.Franke
Mathematics Subject Classification ID: 49-01
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 49L20
Mathematics Subject Classification ID: 93-01
zbMATH DE Number: 845663
zbMATH Keywords: mathematical modelling
zbMATH Keywords: optimal control
zbMATH Keywords: maximum principle
zbMATH Keywords: dynamic programming
zbMATH Keywords: applications
author: Inge Troch
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 845663