There are many proposed optimal or suboptimal al- gorithms to update out-of-sequence measurement（s） （OoSM（s）） for linear-Gaussian systems, but few algorithms are dedicated to track a maneuvering target in clutte...There are many proposed optimal or suboptimal al- gorithms to update out-of-sequence measurement（s） （OoSM（s）） for linear-Gaussian systems, but few algorithms are dedicated to track a maneuvering target in clutter by using OoSMs. In order to address the nonlinear OoSMs obtained by the airborne radar located on a moving platform from a maneuvering target in clut- ter, an interacting multiple model probabilistic data association （IMMPDA） algorithm with the OoSM is developed. To be practical, the algorithm is based on the Earth-centered Earth-fixed （ECEF） coordinate system where it considers the effect of the platform＇s attitude and the curvature of the Earth. The proposed method is validated through the Monte Carlo test compared with the perfor- mance of the standard IMMPDA algorithm ignoring the OoSM, and the conclusions show that using the OoSM can improve the track- ing performance, and the shorter the lag step is, the greater degree the performance is improved, but when the lag step is large, the performance is not improved any more by using the OoSM, which can provide some references for engineering application.展开更多
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
基金supported by the National Natural Science Foundation of China(61102168)
文摘There are many proposed optimal or suboptimal al- gorithms to update out-of-sequence measurement（s） （OoSM（s）） for linear-Gaussian systems, but few algorithms are dedicated to track a maneuvering target in clutter by using OoSMs. In order to address the nonlinear OoSMs obtained by the airborne radar located on a moving platform from a maneuvering target in clut- ter, an interacting multiple model probabilistic data association （IMMPDA） algorithm with the OoSM is developed. To be practical, the algorithm is based on the Earth-centered Earth-fixed （ECEF） coordinate system where it considers the effect of the platform＇s attitude and the curvature of the Earth. The proposed method is validated through the Monte Carlo test compared with the perfor- mance of the standard IMMPDA algorithm ignoring the OoSM, and the conclusions show that using the OoSM can improve the track- ing performance, and the shorter the lag step is, the greater degree the performance is improved, but when the lag step is large, the performance is not improved any more by using the OoSM, which can provide some references for engineering application.
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.
