弹道坐标中三维鲁棒非线性导引律

Three-dimensional robust nonlinear guidance law in trajectory coordinates

本文针对机动目标拦截问题,考虑导弹控制系统动态特性及其不确定性,利用分块反步设计思想,结合输入–状态稳定性理论,在弹道坐标系中设计了一种三维非线性鲁棒导引律.与大多数已有的导引律相比,本文直接地在弹道坐标系中设计导引律,并且所设计的导引律可有效克服控制系统动态特性和不确定性对制导效果的影响,理论分析和数值仿真表明,本文设计的导引律对目标机动和控制系统所受的外来有界扰动均具有较强的鲁棒性.

Considering the autopilot dynamics and uncertainties, we, on the basis of the block backstepping method and input-to-state stability theory, propose in trajectory coordinates a three-dimensional nonlinear guidance law for intercepting a maneuvering target. Being distinguished from other existing methods, this guidance law is directly designed in trajectory coordinates; it can compensate for the effects of the autopilot dynamics and uncertainties. The simulation results show that our scheme has strong robustness with respect to target maneuvers and bounded disturbances in the control loop.