22nd Congress of International Council of the Aeronautical Sciences, Harrogate, UK, 28 August - 1st September, 2000
Paper ICAS 2000-4.10.5

NEW SOLUTIONS OF THE OPTIMAL INJECTION PROBLEM BASED ON COMPLEX INVESTIGATION OF DYNAMICS AND AERODYNAMICS

A. S. Filatyev, Y .N. Yermak, A. A. Golikov, S. M. Zadonsky
Central Aerohydrodynamic Institute (TsAGI), Moscow, Russia

Keywords: pontryagin, optimization, injection, bifurcation, aerodynamics

The behavior of optimal control laws and injection trajectories of aerospace vehicles is investigated on the basis of the Pontryagin maximum principle at a variation of the aerodynamic shape. The basic types of aerodynamic layouts: conical, cylindrical, and winged, are considered. The geometrical parameters determining the cross section profile and the outboard wing area are varied. The numerical solution of the problem is accomplished using the computer program package ASTER of the thorough optimization of branched trajectories. The existence of diverse types of optimal control law structures, including those qualitatively different from typical ones for the current space transportation systems is demonstrated. The bifurcation behavior of relations of the optimal solutions to geometrical parameters of the layout is noted. It is shown that sensitivity coefficients for the maximum injected mass to variations of parameters can differ both in order of magnitude and in sign from the traditionally used ones, that may exert an effect on selection of optimal aerospace vehicle layout.

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