Use of the Lyapunov Functions for Calculating the Locally Optimal Control of a Thrust Vector during Low-Thrust Interorbital Transfer-Reference-Cited by-同舟云学术

Use of the Lyapunov Functions for Calculating the Locally Optimal Control of a Thrust Vector during Low-Thrust Interorbital Transfer

Published:2021-05 Issue:3 Volume:59 Page:212-221
ISSN:0010-9525
Container-title:Cosmic Research
language:en
Short-container-title:Cosmic Res

Author:

Yelnikov R. V.

Abstract

Abstract— This paper presents a method for locally optimal control of the thrust vector of the electric propulsion system (EPS) for a spacecraft that performs a multiturn interorbital transfer from the initial elliptical orbit into a geostationary orbit (GSO). The control represents the time dependences of the angles that characterize the EPS thrust vector orientation in space. Here, it is assumed that the EPS is always on. The proposed control algorithm belongs to the class of feedback control algorithms and is based on using the Lyapunov functions. Numerical examples are presented, which characterize the operability of the proposed control technique. Considerable attention is paid to the comparison of given solutions with the optimal solutions obtained within the framework of the maximum principle formalism.

Publisher

Pleiades Publishing Ltd

Subject

Space and Planetary Science,Astronomy and Astrophysics,Aerospace Engineering

Link

https://link.springer.com/content/pdf/10.1134/S0010952521030035.pdf

Reference27 articles.

1. Ivanov, Yu.N. and Shalaev, Yu.V., Steepest descent method as applied to the calculation of interorbital trajectories with limited power engines, Kosm. Issled., 1964, vol. 2, no. 3.

2. Edelbaum, T.N., Optimum power-limited orbit transfer in strong gravity fields, AIAA J., 1965, vol. 3, no. 5, pp. 921–925.

3. Grodzovskii, G.L., Ivanov, Yu.N., and Tokarev, V.V., Mekhanika kosmicheskogo poleta. Problemy optimizatsii (Space Flight Mechanics. Optimization Problems), Moscow: Nauka, 1975.

4. Eneev, T.M., Egorov, V.A., Efimov, G.B., et al., Some methodical problems of low thrust trajectory optimization, Preprint of Keldysh Inst. of Applied Mathematics, Russ. Acad. Sci., Moscow, 1996, no. 110, p. 124.

5. Kechichian, J.A., Optimal low-earth-orbit-geostationary-earth-orbit intermediate acceleration orbit transfer, J. Guid., Control, Dyn., 1997, vol. 20, no. 4, pp. 803–811.

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Optimizing Propellant Distribution for Interorbital Transfers;Mathematics;2024-03-19

2. Designing Low-Energy Low-Thrust Flight to the Moon on a Temporary Capture Trajectory;Cosmic Research;2023-09-16

3. Minimum-fuel low-thrust trajectories to the Moon;Acta Astronautica;2023-09

4. Algorithms of the control programs formation for the Earth remote sensing spacecraft;2023 IX International Conference on Information Technology and Nanotechnology (ITNT);2023-04-17

5. Minimum-Thrust Transfers to the Moon;Cosmic Research;2022-12