为了提高火箭弹在全程多约束条件下的射程,提出了一种最优轨迹设计及制导方法。首先构建火箭弹优化模型,在射程最大为优化性能指标下进行最优轨迹设计;然后提出了一种基于LQR(线性二次型调节器,linear quadratic regulator)的跟踪制导律设计方法,实现了对最优轨迹的高度、速度和弹道倾角等多变量跟踪;最后通过数学仿真进行验证,结果表明,火箭弹的射程经优化后明显提高,设计的制导律能够实现精确跟踪。

Aiming at increasing the range of Guided Rockets considering whole phase multiple constraints,an optimal trajectory design and guidance method was proposed. The optimization model of rockets was established,considering the range as the optimization index,an optimal trajectory design method was proposed. Designing a LQR-based approach for trajectory guidance method,the multivariable tracking of optimal trajectory was achieved containing height,velocity and flight path angle. Simulations were made,which demonstrate that the trajectory range significantly increased,the optimal trajectory is tracked exactly by the proposed guidance law.