In this paper, a new guidance law for a missile against an accelerating and turning target is presented. When a missile axial acceleration is constant and a target is maneuvering with a constant acceleration, there exists a rectilinear collision course. The guidance laws presented guide a missile so as to fly along the collision course. First, two theoretical guidance laws are derived from the idea based on proportional navigation. Since it is very difficult, however, to realize these theoretical guidance laws on most existing tactical missiles, this paper also shows a method for simply implementing them. The performance of the guidance laws presented is compared with that of proportional navigation or augmented proportional navigation using simulation studies of a simple model of a short range air-to-air missile. The simulation results show that the guidance laws presented are far superior in performance to proportional navigation or augmented proportional navigation.
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