Algorithms for Nonlinear Optimal Control Problems Based on the First and Second Order Necessary Conditions
- Authors: Tyatyushkin A.I.1, Zarodnyuk T.S.1, Gornov A.Y.1
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Affiliations:
- Matrosov Institute for System Dynamics and Control Theory SB RAS
- Issue: Vol 239, No 2 (2019)
- Pages: 185-196
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242636
- DOI: https://doi.org/10.1007/s10958-019-04293-y
- ID: 242636
Cite item
Abstract
We develop an algorithmic support for some classes of nonlinear optimal control problems. We propose several algorithms based on the first- and second order necessary conditions for solving optimal control problems with constraints on control. Efficiency of the algorithms is confirmed by solving various test and applied optimal control problems.
About the authors
A. I. Tyatyushkin
Matrosov Institute for System Dynamics and Control Theory SB RAS
Author for correspondence.
Email: tjat@icc.ru
Russian Federation, 134, Lermontov St, Irkutsk, 664033
T. S. Zarodnyuk
Matrosov Institute for System Dynamics and Control Theory SB RAS
Email: tjat@icc.ru
Russian Federation, 134, Lermontov St, Irkutsk, 664033
A. Yu. Gornov
Matrosov Institute for System Dynamics and Control Theory SB RAS
Email: tjat@icc.ru
Russian Federation, 134, Lermontov St, Irkutsk, 664033