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A Constraining Hyperplane Technique for State Variable Constrained Optimal Control Techniques

Mårtensson, Krister (1973) In Journal of Dynamic Systems, Measurement, and Control, ASME 95(4). p.380-389
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 journal
publication status
published
subject
in
Journal of Dynamic Systems, Measurement, and Control, ASME
volume
95
issue
4
pages
380 - 389
publisher
American Society Of Mechanical Engineers (ASME)
external identifiers
  • scopus:0016302234
ISSN
0022-0434
DOI
10.1115/1.3426739
language
English
LU publication?
no
id
8879f6ab-3dce-478a-9052-f7f7a0e1d289
date added to LUP
2018-12-16 13:42:59
date last changed
2021-01-03 08:15:59
@article{8879f6ab-3dce-478a-9052-f7f7a0e1d289,
  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}},
  issn         = {{0022-0434}},
  language     = {{eng}},
  number       = {{4}},
  pages        = {{380--389}},
  publisher    = {{American Society Of Mechanical Engineers (ASME)}},
  series       = {{Journal of Dynamic Systems, Measurement, and Control, ASME}},
  title        = {{A Constraining Hyperplane Technique for State Variable Constrained Optimal Control Techniques}},
  url          = {{http://dx.doi.org/10.1115/1.3426739}},
  doi          = {{10.1115/1.3426739}},
  volume       = {{95}},
  year         = {{1973}},
}