To establish the optimal reference trajectory for a near-space vehicle under free terminal time,a time-optimal model predictive static programming method is proposed with adaptive fish swarm optimization.First,the mod...To establish the optimal reference trajectory for a near-space vehicle under free terminal time,a time-optimal model predictive static programming method is proposed with adaptive fish swarm optimization.First,the model predictive static programming method is developed by incorporating neighboring terms and trust region,enabling rapid generation of precise optimal solutions.Next,an adaptive fish swarm optimization technique is employed to identify a sub-optimal solution,while a momentum gradient descent method with learning rate decay ensures the convergence to the global optimal solution.To validate the feasibility and accuracy of the proposed method,a near-space vehicle example is analyzed and simulated during its glide phase.The simulation results demonstrate that the proposed method aligns with theoretical derivations and outperforms existing methods in terms of convergence speed and accuracy.Therefore,the proposed method offers significant practical value for solving the fast trajectory optimization problem in near-space vehicle applications.展开更多
For achieving the desired configuration of spacecraft at the desired fixed time,a suboptimal fixed-finite-horizon configuration control method on the Lie group SE(3)is developed based on the Model Predictive Static Pr...For achieving the desired configuration of spacecraft at the desired fixed time,a suboptimal fixed-finite-horizon configuration control method on the Lie group SE(3)is developed based on the Model Predictive Static Programming(MPSP).The MPSP technique has been widely used to solve finite-horizon optimal control problems and is known for its high computational efficiency thanks to the closed-form solution,but it cannot be directly applied to systems on SE(3).The methodological innovation in this paper enables that the MPSP technique is extended to the geometric control on SE(3),using the variational principle,the left-invariant properties of Lie groups,and the topology structure of Lie algebra space.Moreover,the energy consumption,which is crucial for spacecraft operations,is considered as the objective function to be optimized in the optimal control formulation.The effectiveness of the designed sub-optimal control method is demonstrated through an online simulation under disturbances and state measurement errors.展开更多
基金supported by the National Science Foundation for Distinguished Young Scholars of China(No.52425212)National Key Research and Development Program of China(No.2021YFA0717100)National Natural Science Foundation of China(Nos.12072270,U2013206,and 52442214).
文摘To establish the optimal reference trajectory for a near-space vehicle under free terminal time,a time-optimal model predictive static programming method is proposed with adaptive fish swarm optimization.First,the model predictive static programming method is developed by incorporating neighboring terms and trust region,enabling rapid generation of precise optimal solutions.Next,an adaptive fish swarm optimization technique is employed to identify a sub-optimal solution,while a momentum gradient descent method with learning rate decay ensures the convergence to the global optimal solution.To validate the feasibility and accuracy of the proposed method,a near-space vehicle example is analyzed and simulated during its glide phase.The simulation results demonstrate that the proposed method aligns with theoretical derivations and outperforms existing methods in terms of convergence speed and accuracy.Therefore,the proposed method offers significant practical value for solving the fast trajectory optimization problem in near-space vehicle applications.
基金the support of the TUM University Foundation Fellowship。
文摘For achieving the desired configuration of spacecraft at the desired fixed time,a suboptimal fixed-finite-horizon configuration control method on the Lie group SE(3)is developed based on the Model Predictive Static Programming(MPSP).The MPSP technique has been widely used to solve finite-horizon optimal control problems and is known for its high computational efficiency thanks to the closed-form solution,but it cannot be directly applied to systems on SE(3).The methodological innovation in this paper enables that the MPSP technique is extended to the geometric control on SE(3),using the variational principle,the left-invariant properties of Lie groups,and the topology structure of Lie algebra space.Moreover,the energy consumption,which is crucial for spacecraft operations,is considered as the objective function to be optimized in the optimal control formulation.The effectiveness of the designed sub-optimal control method is demonstrated through an online simulation under disturbances and state measurement errors.
