Reachability Subspace Exploration Using Continuation Methods
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Author(s)
Brew, Julian
Holzinger, Marcus J.
Schuet, Stefan
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Abstract
Reachability manifold computation suffers from the curse of dimensionality and
for large state spaces is computationally intractable. This paper examines the use
of continuation methods to address this issue by formulating the reachability subspace
manifold calculation into a number of initial value problems. As a result
of computing the reachability manifold for a subspace of interest, an exponential
improvement in computational cost occurs. This concept is applied to a position
subspace reachability problem of a spacecraft in a Keplerian orbit under maximum
thrust constraints. Future work includes a comparison of the proposed method
with computing reachability manifolds using viscosity solutions of the Hamilton
Jacobi Bellman partial differential equation.
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Date
2017-02
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