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A Constraining Hyperplane Technique for State Variable Constrained Optimal Control Techniques

Mårtensson, Krister (1973) 14th Joint Automatic Control Conference of the American Control Council, 1973
Abstract
A new approach to the numerical solution of optimal control problems with state-variable inequality constraints is presented. It is shown that the concept of constraining hyperplanes may be used to approximate the original problem with a problem where the constraints are of a mixed state-control variable type. The efficiency and the accuracy of the combination of constraining hyperplanes and a second-order differential dynamic programming algorithm are investigated on problems of different complexity, and comparisons are made with the slack-variable and the penalty-function techniques.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to conference
publication status
published
subject
keywords
constraint theory, optimal control, constraining hyperplane technique, state variable constrained optimal control techniques
conference name
14th Joint Automatic Control Conference of the American Control Council, 1973
conference location
Columbus, OH, United States
conference dates
1973-06-19 - 1973-06-21
external identifiers
  • scopus:0015753245
language
English
LU publication?
no
id
a9826031-b234-456a-8593-5f4466d673d6 (old id 8517957)
date added to LUP
2016-04-04 14:27:29
date last changed
2021-01-03 09:04:54
@misc{a9826031-b234-456a-8593-5f4466d673d6,
  abstract     = {{A new approach to the numerical solution of optimal control problems with state-variable inequality constraints is presented. It is shown that the concept of constraining hyperplanes may be used to approximate the original problem with a problem where the constraints are of a mixed state-control variable type. The efficiency and the accuracy of the combination of constraining hyperplanes and a second-order differential dynamic programming algorithm are investigated on problems of different complexity, and comparisons are made with the slack-variable and the penalty-function techniques.}},
  author       = {{Mårtensson, Krister}},
  keywords     = {{constraint theory; optimal control; constraining hyperplane technique; state variable constrained optimal control techniques}},
  language     = {{eng}},
  title        = {{A Constraining Hyperplane Technique for State Variable Constrained Optimal Control Techniques}},
  year         = {{1973}},
}