Issue |
MATEC Web Conf.
Volume 347, 2021
12th South African Conference on Computational and Applied Mechanics (SACAM2020)
|
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Article Number | 00012 | |
Number of page(s) | 12 | |
DOI | https://doi.org/10.1051/matecconf/202134700012 | |
Published online | 23 November 2021 |
Analytical first derivatives of the direct Hermite-Simpson collocation formulation of optimal control problems
1
Mechanical Engineering, University of KwaZulu-Natal, 4041
2
Mechanical Engineering, University of KwaZulu-Natal, 4041
3
Mechanical Engineering, University of KwaZulu-Natal, 4041
* This project was supported by the National Research Foundation (NRF).This is much appreciated. e-mail: aravind519@yahoo.com
In order to assess the capabilities of South Africa as a launch site for commercial satellites, an optimal control solver was developed. The developed solver makes use of direct Hermite-Simpson collocation methods, and can be applied to a general optimal control problem. Analytical first derivative information was obtained for direct Hermite-Simpson collocation methods. Typically, a numerical estimate of the derivative information is used. This paper will present the solver algorithm, and the formulation and derivation of the analytical first derivative information for this approach. A sample problem is provided as validation of the solver.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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