Time-optimal steering of a point mass to a specified position with the required velocity

The planar problem of the time-optimal steering of a point mass to the origin of coordinates with a required velocity by means of a force of limited modulus is considered. The optimal control and the optimal time are investigated for different characteristic values of the positional radius vector an...

Full description

Saved in:
Bibliographic Details
Published in:Journal of applied mathematics and mechanics 2007, Vol.71 (2), p.200-207
Main Authors: Akulenko, L.D., Koshelev, A.P.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Optimal control
Physics
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The planar problem of the time-optimal steering of a point mass to the origin of coordinates with a required velocity by means of a force of limited modulus is considered. The optimal control and the optimal time are investigated for different characteristic values of the positional radius vector and arbitrary values of the magnitude and direction of the initial velocity. The results are extended to the case of boundary conditions which are imposed on the magnitude and direction of the initial velocity in the form of inequalities and are transferred to a problem with control for a fixed time.
ISSN:0021-8928
0021-8928
DOI:10.1016/j.jappmathmech.2007.06.003