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针对滑翔段到巡航段的过渡段弹道优化与制导问题,在考虑过程约束和巡航段初始约束的条件下,运用Gauss伪谱法将最优控制问题转换为非线性规划问题,利用SNOPT求解了导弹过渡段的最优弹道。然后,将运动方程关于标准弹道线性化,利用LQR最优控制设计弹道跟踪器,给定弹道偏差的条件下,运用MATLAB进行了仿真校验,结果表明LQR跟踪器能够很好的跟踪Gauss伪谱法设计出的优化弹道。
Aiming at the problem of ballistic optimization and guidance in the transition from gliding segment to cruising segment, Gauss pseudospectral method is used to convert the optimal control problem into a nonlinear programming problem, considering the constraints of the process and the initial constraints of the cruise segment. Using SNOPT, Transitional section of the optimal trajectory. Then, based on the standard trajectory linearization of the equation of motion and the LQR optimal control, a trajectory tracer is designed. Given the trajectory deviation, a MATLAB simulation is carried out. The results show that the LQR tracker can track Gauss pseudospectral Law designed to optimize the ballistic.