Affiliation:
1. Department of Aerospace Science and Technology, Politecnico di Milano, Via La Masa 34, 20156 Milano, Italy
Abstract
A method to solve nonlinear optimal control problems is proposed in
this work. The method implements an approximating sequence of time-varying linear quadratic regulators that converge to the solution of the
original, nonlinear problem. Each subproblem is solved by manipulating
the state transition matrix of the state-costate dynamics. Hard, soft,
and mixed boundary conditions are handled. The presented method is
a modified version of an algorithm known as “approximating sequence
of Riccati equations.” Sample problems in astrodynamics are treated to
show the effectiveness of the method, whose limitations are also discussed.
Cited by
9 articles.
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