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Indexed by:期刊论文

Date of Publication:2012-03-01

Journal:JOURNAL OF GUIDANCE CONTROL AND DYNAMICS

Included Journals:SCIE、EI

Volume:35

Issue:2

Page Number:653-659

ISSN No.: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.