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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Optimization of a Maneuver of a Small Change in an Orbit Inclination Angle of an Interorbital Transport Vehicle with a Limited Power Propulsion System and an Energy Accumulator

巻 52, 発行 6, 2020, pp. 15-30
DOI: 10.1615/JAutomatInfScien.v52.i6.20
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要約

The algorithm has been developed for optimizing the maneuver of a small change in the inclination angle of an elliptical orbit of an interorbital transport vehicle (ITV) with a limited power propulsion system and an energy accumulator. The optimization goal is to maximize the payload mass for a given initial mass of ITV. The movement of ITV is modeled by the movement of a material point of variable mass under the action of a strong spherical gravitational field and thrust generated by the propulsion system. The ITV initial mass consists of the mass of the propulsion system, the mass of the working substance necessary to perform the maneuver and the mass of the payload. In its turn, the mass of the propulsion system consists of the masses of the engine, the energy source and the energy accumulator. In formulating the optimal control problem, the model of the perfectly controlled propulsion system is used. Taking into account the smallness of the vector of reactive acceleration and the smallness of the increment of the inclination angle, the equations of motion of ITV in the osculating variables are linearized. The optimal programs of the reactive acceleration vector are constructed using the Gamkrelidze method (extending the Pontryagin maximum principle to problems with phase constraints). Linearized motion equations are integrated in elementary functions. Analytical expressions are obtained to describe the optimal operating modes of the propulsion system. The formulated optimal control problem with the quadratic optimality criterion is reduced to the problem of finding the minimum of the function of three variables. The search for the minimum was carried out using numerical methods. It is shown that there are intervals of values of specific mass of the energy accumulator at which the use of the energy accumulator as part of the propulsion system makes it possible to increase the mass of ITV payload, therefore, the use of the energy accumulator as a part of ITV propulsion system makes sense. At these intervals, the optimal dependencies between the specific characteristics of the propulsion system are given.

参考
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