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将分段线性逼近与迭代求解的思想扩展到对导弹的时变速度进行分段预测,给出了适用于反舰导弹速度时变情况的大前置角下比例导引律和偏置比例导引律的剩余时间估计算法。该算法在现有分段迭代算法的基础上,依据闭环形式的反舰导弹速度微分方程,分转弯平飞段和近似直线飞行段2种情况,对导弹未来速度的大小进行分段迭代预测并对剩余时间估计进行修正。算法中还给出了偏置比例导引律作用下近似直线飞行段剩余飞行航程的估计公式。仿真结果验证了本文算法的有效性。
The idea of piecewise linear approximation and iterative solution is extended to segment prediction of the missile’s time-varying velocity. Proportional steering law and bias ratio guidance for large-anterior-angle angular velocity of anti-ship missiles are given. Remaining Time Estimation Algorithm for Leading Laws. Based on the existing subsection iterative algorithm and based on closed-loop anti-ship missile velocity differential equation, sub-turn flat-flight section and approximate straight-line flight section, the algorithm predicts the future velocity of the missile segmentally and iteratively Remaining estimates of remaining time. The algorithm also gives the estimated formula of the remaining flight range of the approximate straight-line flight under the action of bias proportional guidance law. The simulation results verify the effectiveness of the proposed algorithm.