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�������պ����ѧѧ�� 2006, Vol. 32 Issue (05) :513-517    DOI:
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�ܺ�1, ����1, ������2*
1. �������պ����ѧ �ѧԺ, ���� 100083;
2. �й�����ƹ����Ź�˾, ���� 100830
Optimization of glide trajectory for a hypersonic vehicle
Zhou Hao1, Chen Wanchun1, Yin Xingliang2*
1. School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China;
2. China Aerospace Science and Industry Corporation, Beijing 100830, China

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Abstract�� According to hypersonic vehicle’s density model, dynamic model, areodynamic force models and the angle of attack considered as the input, the trajectory problem was cast as the optimal control problem and pontriaghin maximum principle was used to obtain first order necessary condition. A combined optimal approach including changing-region gene algorithm and nelder-mead simplex method and neighboring extrem method were proposed to explore two point boundary value problem. Firstly the gene algorithm and simplex method was used to get the goal optimal solution and then gained the fit initial value which is satisfied with strictly terminal constraints by neighboring extrem method. By optimizing a hypersonic vehicle case, optimal trajectory and the curve convergent was gained, and the result was compared with the flight scheme of maximizing the rate of lift and drag, the range obtaining by optimal control is longer than that by the flight scheme of maximizing the rate of lift and drag.
Keywords�� trajectory   optimization   optimal control systems   genetic algorithms   hypersonic vehicle   TPBVP     
Received 2005-06-06;
About author: �� ��(1976-), ��, ����������, ��ʿ��, zhouhao@sa.buaa.edu.cn.
�ܺ�, ����, ������.�߳����ٷ��������к����Ż�[J]  �������պ����ѧѧ��, 2006,V32(05): 513-517
Zhou Hao, Chen Wanchun, Yin Xingliang.Optimization of glide trajectory for a hypersonic vehicle[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2006,V32(05): 513-517
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