Avoidance of no-fly zone for Hypersonic Vehicle based on Adaptice Radau Pseudospectral Method

Ruocen Tian, Qingzhen Zhang, Langfu Cui, Yue Yu
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Abstract

Aiming at the reentry trajectory planning of hypersonic vehicle, considering the constraints of no fly zone in the process, the reentry guidance scheme is designed based on the adaptive Radau pseudospectrum method; Firstly, the kinematic equations and various constraint models of the reentry section are established. Taking the minimum heat flow and trajectory oscillation in the reentry process as the optimization objective, the control and state variables are discretized by radau pseudo spectrum method, and the reentry trajectory planning problem is transformed into a nonlinear programming problem. Numerical simulation is carried out to verify the effectiveness of the method. The simulation results show that the method can plan the reentry trajectory that meets the constraints of process and no fly zone, and can provide useful support for reentry guidance of hypersonic vehicles.
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基于自适应Radau伪谱法的高超声速飞行器禁飞区规避
针对高超声速飞行器再入弹道规划问题,在考虑禁飞区约束的基础上,设计了基于自适应Radau伪谱法的再入制导方案;首先,建立了飞行器再入段的运动学方程和各种约束模型;以再入过程中热流和轨迹振荡最小为优化目标,采用radau伪谱法对控制变量和状态变量进行离散化,将再入轨迹规划问题转化为非线性规划问题。通过数值仿真验证了该方法的有效性。仿真结果表明,该方法能够规划出满足过程约束和禁飞区约束的再入弹道,为高超声速飞行器的再入制导提供了有益的支持。
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