The indirect method for the continuous low-thrust near minimum cumulative longitude orbit transfer problem is addressed.The movement of the satellite is described by the Gauss equation using the modified equinoctial e...The indirect method for the continuous low-thrust near minimum cumulative longitude orbit transfer problem is addressed.The movement of the satellite is described by the Gauss equation using the modified equinoctial elements and replacing time as the system independent variable by the cumulative longitude.The maximum principle is adapted to design the optimal control in order to minimize the final cumulative longitude, and the twopoint-boundary-value problem is derived from the orbit transfer problem.The single shooting method is applied in a numerical experiment, and the simulations demonstrate that the orbit transfer mission is fulfilled and the product of the maximal thrust and the minimum cumulative longitude is near constant.展开更多
提出用非线性序列二次规划(SQP,Sequen tial Q uadratic P rogramm ing)算法解决发动机性能寻优控制问题。分析了线性规划(LP,L inear P rogramm ing)算法用于发动机性能寻优的固有缺陷以及SQP算法的优点。给出了SQP算法与LP算法用于最...提出用非线性序列二次规划(SQP,Sequen tial Q uadratic P rogramm ing)算法解决发动机性能寻优控制问题。分析了线性规划(LP,L inear P rogramm ing)算法用于发动机性能寻优的固有缺陷以及SQP算法的优点。给出了SQP算法与LP算法用于最大推力模式和最小油耗模式仿真结果对比曲线。数字仿真实验的结果表明,SQP算法具有比LP算法更好的优化效果,在工程实际中有很大的应用潜力。展开更多
基金supported by the National Natural Science Foundation of China (10832006 60874011)
文摘The indirect method for the continuous low-thrust near minimum cumulative longitude orbit transfer problem is addressed.The movement of the satellite is described by the Gauss equation using the modified equinoctial elements and replacing time as the system independent variable by the cumulative longitude.The maximum principle is adapted to design the optimal control in order to minimize the final cumulative longitude, and the twopoint-boundary-value problem is derived from the orbit transfer problem.The single shooting method is applied in a numerical experiment, and the simulations demonstrate that the orbit transfer mission is fulfilled and the product of the maximal thrust and the minimum cumulative longitude is near constant.
文摘提出用非线性序列二次规划(SQP,Sequen tial Q uadratic P rogramm ing)算法解决发动机性能寻优控制问题。分析了线性规划(LP,L inear P rogramm ing)算法用于发动机性能寻优的固有缺陷以及SQP算法的优点。给出了SQP算法与LP算法用于最大推力模式和最小油耗模式仿真结果对比曲线。数字仿真实验的结果表明,SQP算法具有比LP算法更好的优化效果,在工程实际中有很大的应用潜力。
