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Trajectory Optimization in Injection Phase for Hypersonic Gliding Vehicle

ZHOU Hao~1,ZHOU Tao~1,CHEN Wan-chun~1,YIN Xing-liang~2(1.School of Astronautics,Beihang University,Beijing 100083,China;2.China Aerospace Science and Industry Corporation,Beijing 100830,China)  
The purpose of trajectory optimization for hypersonic vehicle was obtaining the control command,simultaneity the scheme trajectory is obtained.According hypersonic vehicle's mathmatical models,The fit law of the angle of attack was considered as the input to make trajectory optimization.The trajectory problem was cast as the optimal control problem and Pontriaghin Maximum Principle was used to obtain first order necessary condition.These was in the form of a two point boundary value problem(TPBVP),and which was solved by means of the gene algorithm (GA),firstly the scope of initial adjoint variables was estimated by the scope of the angle of attack which was obtained by suboptimal trajectory,then in the scope the GA was used to get the goal optimal value.By a hypersonic numerical application,terminal velocity maximum optimal trajectory curve with heat rate constraint was obtained.At the same time the result was compared with suboptimal flight scheme,the terminal velocity was larger than the one of suboptimal flight scheme.The numerical example showed that the GA was a perfect method for TPBVP.
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