基于多项式拟合SDRE的三维导引律设计

应用多项式拟合的SDRE方法结合改进的极坐标系(MPC)设计了三维次优导引律。介绍了SDRE方法与多项式拟合的SDRE方法,后者是前者十分优越的逼近;推导了MPC下的弹目相对运动方程,将球坐标下的六个状态方程减少到了三个并且满足多项式拟合SDRE方法的应用前提;在此基础上,推导出了三维拟合SDRE导引律(nSDRE)。仿真显示,nSDRE是一种有效的导引律,较广义理想比例导引律(GIPN)具有更好的导引品质,特别在目标机动时,nSDRE能更好地应对目标机动引起的视线转率发散而导致脱靶的问题。

Three-dimensional Missile Guidance Law Design Based on Polynomial Fitting of SDRE

The three-dimensional missile guidance law was designed with polynomial fitting SDRE method under the modified polar coordinate. At first, the SDRE method and the polynomial fitting SDRE method were introduced, then the equations of relative dynamics between the missile and target was derived. It was shown that with the property of this modified polar coordinate(MPC), the number of equations can be reduced from six to three, and the equation forms were meet demands of the polynomial fitting method. Finally, the three-dimensional missile guidance Law named nSDRE was derived. The simulation results showed that performances of nSDRE were better than that of GIPN, especially when the maneuverability of target was greatly strong.