| Issue |
MATEC Web Conf.
Volume 77, 2016
2016 3rd International Conference on Mechanics and Mechatronics Research (ICMMR 2016)
|
|
|---|---|---|
| Article Number | 15003 | |
| Number of page(s) | 4 | |
| Section | Optimization Theory | |
| DOI | https://doi.org/10.1051/matecconf/20167715003 | |
| Published online | 03 October 2016 | |
Method of Quasi-Optimal Synthesis Using Invariants
1 Rostov State Transport University, Department of Informatics, Rostov-on-Don, Russian Federation
2 Don State Technical University, Department of Radio Engineering and Electronics, Rostov-on-Don, Russian Federation
3 Air Force Military Training and Research Center “Air Force Academy named after Professor N.E. Zhukovsky and Yu.A. Gagarin”, Department of Metrology and Metrological support, Voronezh, Russian Federation
This paper studies the problem of synthesis of terminal control of a dynamic system. It is shown that to solve the problem the convolution product of objective functional and Gaussian constraint can be used as expanded functional. The use of needle variation allows to get a required condition of the objective functional minimum and to reduce the optimization problem to the boundary problem, which can be solved in closed form. The quasi-optimal solution to the problem of optimal speed of operation is obtained. The modes of operation with choosing the control law parameters were studied.
© The Authors, published by EDP Sciences, 2016
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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