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针对高超声速再入飞行器最远距离滑翔制导关键技术,设计了一种新型制导律。首先,利用奇异摄动理论对再入飞行器状态变量进行两个时间尺度的划分,将系统状态方程分解成两个低维子系统。然后,应用最优控制理论得出慢时间尺度上的解,并将其作为降维后的最优参考轨迹;在此基础上,利用非线性微分几何反馈线性化方法,设计快时间尺度制导指令,实现对参考轨迹的跟踪。最后,利用设计出的滑翔制导律进行了数学仿真。仿真结果表明:该次优制导律满足远距离滑翔制导要求,同已有文献算法相比,本文算法得出的滑翔弹道具有很大的灵活性,可以根据需要调节轨迹跟踪的速度,以得到不同的再入飞行轨迹,大幅提高再入飞行器的机动能力。
Aiming at the key technology of the gliding guidance of the hypersonic reentry vehicle, a new type of guidance law is designed. Firstly, the singular perturbation theory is used to divide the state variables of reentry vehicle into two time scales, and the system state equation is decomposed into two low-dimensional subsystems. Then, the optimal control theory is used to derive the solution on the slow time scale and use it as the optimal reference trajectory after the dimension reduction. On this basis, a nonlinear time-scale guided instruction is designed by nonlinear differential geometry feedback linearization , To achieve tracking of the reference trajectory. Finally, the mathematical simulation is carried out using the designed gliding guidance law. The simulation results show that this suboptimal guidance law satisfies the requirements of long-distance gliding guidance. Compared with the existing literature algorithms, the glide trajectory obtained by this algorithm has great flexibility and can adjust the speed of trajectory tracking as needed to obtain different Re-entry flight trajectory, a substantial increase reentry vehicle maneuvering ability.