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Optimal control of systems possessing symmetries
Grizzle, J.; Marcus, S.;
Automatic Control, IEEE Transactions on
Volume 29,
Issue 11,
Nov 1984
Page(s):1037
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1040
Abstract:
It is shown that a symmetry in an optimization problem induces a decomposition of the optimal feedback control law into factors. One factor can be calculated algebraically and depends only on the symmetry; the other factor corresponds to a lower dimensional optimization problem. This gives a priori information about the structure of the optimal feedback control law and indicates a possibly more efficient method for optimizing such systems.
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