Numerical solutions of optimal control problems are influenced by the appropriate choice of coordinates.The proposed method based on the variational approach to map costates between sets of coordinates and/or elements...Numerical solutions of optimal control problems are influenced by the appropriate choice of coordinates.The proposed method based on the variational approach to map costates between sets of coordinates and/or elements is suitable for solving optimal control problems using the indirect formalism of optimal control theory.The Jacobian of the nonlinear map between any two sets of coordinates and elements is a key component of costate vector mapping theory.A new solution for the class of planar,free-terminal-time,minimum-time,orbit rendezvous maneuvers is also presented.The accuracy of the costate mapping is verified,and its utility is demonstrated by solving minimum-time and minimum-fuel spacecraft trajectory optimization problems.展开更多
文摘Numerical solutions of optimal control problems are influenced by the appropriate choice of coordinates.The proposed method based on the variational approach to map costates between sets of coordinates and/or elements is suitable for solving optimal control problems using the indirect formalism of optimal control theory.The Jacobian of the nonlinear map between any two sets of coordinates and elements is a key component of costate vector mapping theory.A new solution for the class of planar,free-terminal-time,minimum-time,orbit rendezvous maneuvers is also presented.The accuracy of the costate mapping is verified,and its utility is demonstrated by solving minimum-time and minimum-fuel spacecraft trajectory optimization problems.
