带碰撞角约束的最优多项式制导律

Optimal Polynomial Guidance Law with Impact Angle Constraint

针对导弹对地面静止目标的打击问题,基于非线性导弹运动学模型提出了一种二维多项式制导律.该制导律不仅能保证导弹以期望的碰撞角命中目标,而且能使特定的价值函数最小化.此外,制导律作用下系统状态的解析解可以求解得到,从而实现了对制导系统状态的定量分析.数值仿真验证了所提制导律的有效性.

To deal with the guidance problem of intercepting ground fixed target,a two-dimensional polynomial guidance law was proposed based on a nonlinear engagement dynamics model for the missile.The main feature of this guidance law is that it not only accurately satisfies the terminal impact angle constraint,but also minimizes the specific cost function.Moreover,the closed loop system states can be analytically derived,which realize quantitative analysis for the system states.The effectiveness of the proposed guidance law was verified by numerical simulations.