制导动能弹最优初始参数计算方法研究

Research on Initial Parameters Optimization Algorithm for Guided Kinetic Energy Projectiles

利用制导律和状态参数的代数关系,将带有控制量的微分方程组转化为由状态参数表示的微分方程组,然后利用伪谱法的思想,将由状态参数表示的微分方程组离散成为由一系列状态参数表示的非线性代数方程组,进而将制导动能弹的初始参数优化问题转换成为非线性规划问题,运用序列二次规划法求解最优初始参数。通过计算某型动能弹在不同速度下的最小初始倾角,并与蒙特卡洛计算结果以及在某一初始参数条件下制导方程计算结果对比发现,该方法用于计算多种约束下的制导动能弹最优初始参数是可行的。通过研究分析初始速度和初始倾角对命中性能的影响,进一步验证了该方法的可行性。

Using the relationship between guidance law and state variables of the kinetic energy projectile, the differential equations include control variable were transformed to the new differential equations only include state variables. Base on the Radau pseudospectral method, the new differential equations were transformed to the nonlinear algebraic equations expressed by state variables, so the parameter optimiza- tion could be solved by sequential quadratic programming （SQP）. Computing the minimal initial path angles of one kinetic energy projec- tile in different velocities, and comparing to the result solved by Monte Carlo method and the result computed by integrating differential e- quations include control variable with some initial states, the feasibility of parameter optimization algorithm was validated. Analyzing the effect of initial velocity and initial path angle to the impact velocity, the feasibility of parameter optimization algorithm was validated uheri- orly.