Rapid Simultaneous Hypersonic Aerodynamic and Trajectory Optimization Using Variational Methods
Author(s)
Grant, Michael J.
Clark, Ian G.
Braun, Robert D.
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Abstract
Traditional multidisciplinary design optimization methodologies of hypersonic missions
often employ population-based global searching methods that rely on shooting methods
to perform trajectory optimization. In this investigation, a rapid simultaneous hypersonic
aerodynamic and trajectory optimization methodology is constructed based on variational
methods. This methodology is constructed from two enabling advancements in analytic hypersonic aerodynamics and rapid trajectory optimization. Comparisons made with a single
and multi-objective particle swarm optimizer highlight the computational advantages and
improved solutions obtained through continuation of variational methods. The incorporation of trajectory constraints into the particle swarm optimization process through penalty
functions or as additional objectives is shown to greatly increase the complexity of the
design process. Alternatively, variational methods are able to precisely satisfy trajectory
constraints without this added complexity. Examples demonstrate that Pareto frontiers
in both vehicle and trajectory objectives can be constructed using variational methods.
For convex frontiers, this is performed using a weighted sum of the objectives. For non-
convex frontiers, the optimization is performed through continuation of a set of constrained
objectives.
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Date
2011-08
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