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ON A CONTROL WITH A GUIDE IN A PROBLEM OF OPTIMAL LAUNCHER INJECTION

Annotation

A problem of optimal injection of a rocket carrier (a launcher) into a given near-earth elliptic orbit under some constraints on the control and the state of the nonlinear dynamic system describing launcher motion is considered. The mathematical model of launcher controlled motion includes the equations of translational motion of the mass center of the launcher and the equations of launcher rotation as a solid body. It is required to design a program control for the launcher that provides the maximal value of the payload mass led to the given orbit. One approach to constructing admissible controls in this problem based on the methodology of control problems with a guide is suggested. Results of the numerical simulation with the use of real data are presented.

Keywords

osculating orbit; dynamic system; optimal control; state constraints; guide; accompanying positions

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UDC

517.977.5

Pages

1194-1205

References

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Received

2015-04-30

Section of issue

Scientific articles

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