Brief paper: Gradient dynamic optimization with Legendre chaos

Authors:
F. S. Hover
Affiliations:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

The polynomial chaos approach for stochastic simulation is applied to trajectory optimization, by conceptually replacing random variables with free variables. Using the gradient method, we generate with low computational cost an accurate parametrization of optimal trajectories.