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Approximate Solutions to Nonlinear Optimal Control Problems in Astrodynamics
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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.
Title: Approximate Solutions to Nonlinear Optimal Control Problems in Astrodynamics
Description:
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.
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