 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13025 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8110
|
| In English (Mech. Solids): | | 4915 |
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| << Previous article | Volume 59, Issue 8 / 2024 | Next article >> |
| S.A. Reshmin and M.T. Bektybaeva, "Accounting for Phase Constraints During Intensive Acceleration by Modified Linear Tangent Law," Mech. Solids. 59 (8), 3913-3928 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
8 |
Pages |
3913-3928 |
| DOI |
10.1134/S0025654424607043 |
| Title |
Accounting for Phase Constraints During Intensive Acceleration by Modified Linear Tangent Law |
| Author(s) |
S.A. Reshmin (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia, reshmin@ipmnet.ru)
M.T. Bektybaeva (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 119526 Russia; RUDN University, Moscow, 117198 Russia, bektybaeva@ipmnet.ru) |
| Abstract |
The article considers the motion of an inertial object with jet thrust in the absence of external forces while moving in a vertical plane. The problem is to transfer the object in a finite time to a chosen rectilinear horizontal trajectory with maximizing the terminal velocity, avoiding overshooting
a given height. For the sufficiently large control times, the problem was solved by using the modified
linear tangent law of the thrust direction control. Additionally, an asymptotic analysis was carried out.
In particular, analytical results are obtained in the case of high thrust. |
| Keywords |
optimal control, trajectory optimization, linear tangent law, phase constraint, constant thrust |
| Received |
14 December 2024 | Revised |
20 December 2024 | Accepted |
25 December 2024 |
| Link to Fulltext |
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