TY - GEN

T1 - A new numerical optimization method based on Taylor series

AU - Martin, Christopher S.

AU - Conway, Bruce A

PY - 2011/10/6

Y1 - 2011/10/6

N2 - A new method to numerically solve trajectory optimization problems is developed. The method uses direct transcription to convert the continuous optimal control problem into a parameter optimization problem that can be solved with non-linear programming. A high-order Taylor series expansion about each node is used to convert the system equations into algebraic constraint equations. Automatic differentiation is used to compute the derivatives of the system equations required to keep arbitrarily many terms in the Taylor series. Several orbit transfer problems are solved to evaluate the performance of the new method.

AB - A new method to numerically solve trajectory optimization problems is developed. The method uses direct transcription to convert the continuous optimal control problem into a parameter optimization problem that can be solved with non-linear programming. A high-order Taylor series expansion about each node is used to convert the system equations into algebraic constraint equations. Automatic differentiation is used to compute the derivatives of the system equations required to keep arbitrarily many terms in the Taylor series. Several orbit transfer problems are solved to evaluate the performance of the new method.

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M3 - Conference contribution

AN - SCOPUS:80053408097

SN - 9780877035695

T3 - Advances in the Astronautical Sciences

SP - 795

EP - 812

BT - Spaceflight Mechanics 2011 - Advances in the Astronautical Sciences

T2 - 21st AAS/AIAA Space Flight Mechanics Meeting

Y2 - 13 February 2011 through 17 February 2011

ER -