The influence of trajectory design parameters on miss distance and survivability of anti-ship missiles

In this paper, we synthesize the sinusoidal biased proportional navigation guidance (PNG) law for enhancing the survivability of anti-ship missiles against the interception of anti-air missiles (AAM). The magnitude and frequency of the sinusoidal acceleration can be seen as trajectory design parameters of the guidance law. The closed-form solution of the command acceleration is found to show how the key parameters influence the performance of the guidance law. To evaluate the influence of trajectory design parameters as well as dynamics parameters on both the miss distance and the survivability of anti-ship missiles, we use the homing loop model which consists of the canonical fifth-order binomial dynamics and the proposed guidance law. The simulation is implemented in Matlab based on the homing model for drawing the miss distance curves of both anti-ship missiles and anti-air missiles. The simulation results show that the magnitude, frequency, and time constants greatly influence the miss distance and survivability of the anti-ship missiles (ASM). Finally, the suggestions for choosing suitable parameters are also presented.