Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2012-03-01

Journal: JOURNAL OF GUIDANCE CONTROL AND DYNAMICS

Included Journals: EI、SCIE

Volume: 35

Issue: 2

Page Number: 653-659

ISSN: 0731-5090

Abstract: Three different symplectic numerical approaches are proposed based on the variational principle to solve TPBVP (two-point boundary value problem) in optimal control. The three symplectic approaches are constructed by choosing different types of independent variables at the two ends of a time step. For each approach, the nonlinear TPBVP is transformed into a set of nonlinear algebraic equations that can preserve the symplectic structure of the original Hamiltonian system. The proposed symplectic approaches are successfully applied to solve optimal orbital rendezvous problems in a central gravity field. The numerical results show that the three symplectic approaches give different numerical performances; however, with an increase in the number of time intervals, all three symplectic approaches give the same convergence result.