TY - GEN
T1 - A new optimal orbit control for two-point boundary-value problem using generating functions
AU - Bando, Mai
AU - Yamakawa, Hiroshi
PY - 2009
Y1 - 2009
N2 - The optimal control problem of a spacecraft using impulsive and continuous thrust where the terminal state and time interval are explicitly given is considered. Using a recently developed technique based on Hamilton-Jacobi theory, we develop a method to approximate the solution of the Hamilton-Jacobi equation which can solve the two-point boundary-value problem. The proposed method is based on the successive approximation and Galerkin spectral method with Chebyshev polynomials. This approach is expected to derive the analytical solution of the optimal control problem in the large domain. Numerical simulation is given to illustrate the theory.
AB - The optimal control problem of a spacecraft using impulsive and continuous thrust where the terminal state and time interval are explicitly given is considered. Using a recently developed technique based on Hamilton-Jacobi theory, we develop a method to approximate the solution of the Hamilton-Jacobi equation which can solve the two-point boundary-value problem. The proposed method is based on the successive approximation and Galerkin spectral method with Chebyshev polynomials. This approach is expected to derive the analytical solution of the optimal control problem in the large domain. Numerical simulation is given to illustrate the theory.
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M3 - Conference contribution
AN - SCOPUS:78649244356
SN - 9780877035541
T3 - Advances in the Astronautical Sciences
SP - 245
EP - 260
BT - Spaceflight Mechanics 2009 - Advances in the Astronautical Sciences
T2 - 19th AAS/AIAA Space Flight Mechanics Meeting
Y2 - 8 February 2009 through 12 February 2009
ER -