New general guidance method in constrained optimal control, part 1: Numerical method

A very fast numerical method is developed for the computation of neighboring optimum feedback controls. This method is applicable to a general class of optimal control problems and needs no on-line computation, except for one matrix-vector multiplication. The method is based on the so-called accesso...

Full description

Saved in:
Bibliographic Details
Published in:Journal of optimization theory and applications 1990-12, Vol.67 (3), p.421-435
Main Authors: Kugelmann, B., Pesch, H. J.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A very fast numerical method is developed for the computation of neighboring optimum feedback controls. This method is applicable to a general class of optimal control problems and needs no on-line computation, except for one matrix-vector multiplication. The method is based on the so-called accessory minimum problem. The necessary conditions for this auxiliary optimal control problem form a linear multipoint boundary-value problem with linear jump conditions, which is especially well suited for numerical treatment. In the second part of this paper, the performance of the guidance scheme is shown for the heating-constrained cross-range maximization problem of a space-shuttle-orbiter-type vehicle.
ISSN:0022-3239
1573-2878
DOI:10.1007/BF00939642