视线角速度测量噪声对变结构制导鲁棒性的影响分析

The Robustness of Variable Structure Guidance to Line of Sight Rate Measurement Noise

分析了视线角速度测量噪声对变结构制导鲁棒性的影响 ,给出了两种信噪比水平下变结构制导规律制导参数应满足的条件。结果表明 ,变结构制导规律中的比例导引项和变结构项系数的取值满足一定条件时能够保证导引收敛 ,变结构项是抑制视线角速度测量噪声的主要因素。

Line of sight rate measurement noise has great influence upon the homing performance of tactical missiles using variable structure guidance laws [1～3] . We present a method to reduce this influence. We first derived the variable structure guidance law (eq.6) by choosing line of sight rate as slide hyperplane for planar intercept geometry. Then we investigated the robustness of the variable structure guidance law to line of sight rate measurement noise and obtained four inequalities (eq.14 through 17). We proved that satisfying any one of the four inequalities can guarantee the convergence of the guidance loop. Simulation results are given in section 4. Table 1 lists 10 initial launch conditions. Table 2 gives the corresponding miss distances for proportional navigation and the variable structure guidance with a sinusoidal type measurement noise (SNR=4) when the target is maneuvering at 10g. The simulation results are in good agreement with the theoretical results.