A Constraining Hyperplane Technique for State Variable Constrained Optimal Control Techniques
(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:
https://lup.lub.lu.se/record/8879f6ab-3dce-478a-9052-f7f7a0e1d289
- author
- Mårtensson, Krister
- organization
- publishing date
- 1973
- 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}}, }