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普适变量下的最优控制求解研究
引用本文:张亚锋,和兴锁.普适变量下的最优控制求解研究[J].飞行力学,2009,27(6).
作者姓名:张亚锋  和兴锁
作者单位:西北工业大学,力学与土木建筑学院,陕西,西安,710129
基金项目:国家863计划资助项目 
摘    要:研究了普适变量下状态方程的最优控制问题.在消除奇点的轨道根数的基础上,建立了普适变量下适合圆锥曲线求解的摄动方程.利用Gauss伪谱法对摄动方程进行了最优控制求解和仿真验证.计算过程及仿真结果表明,所建立的摄动方程以及所用的Gauss法能够满足各种约束条件,便于对发动机进行控制,且在零倾角轨道情况下不产生奇异.

关 键 词:Gauss伪谱法  最优控制  有限推力  轨道转移优化  普适变量

Optimal Orbital Transfer with Finite Thrust Based on Gauss Pseudospectral Method
ZHANG Ya-feng,HE Xing-suo.Optimal Orbital Transfer with Finite Thrust Based on Gauss Pseudospectral Method[J].Flight Dynamics,2009,27(6).
Authors:ZHANG Ya-feng  HE Xing-suo
Institution:ZHANG Ya-feng,HE Xing-suo(School of Mechanics,Civil Engineering and Architectures,Northwest Polytechnical University,Xi'an 710072,China)
Abstract:An optimal control problem based on universal variable is studied.Based on the dynamics equations with the orbital nonsingular elements,perturbation equations including universal variable for solving conic orbit are established.The optimal control problem of the equations is solved using Gauss pseudospectral method.At last,example of orbital transfer with zero inclination is computed and simulated.The simulation results demonstrate that the equations established and the Gauss pseudospectral method used in t...
Keywords:Gauss pseudospectral method  optimal control  finite thrust  optimal orbital transfer  universal variable
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