Abstract:

Based on the angle relation among the protected aircraft, offensive missile and defensive missile, a new geometric law is derived. Firstly, the geometric relation among the three players is analyzed, the protected aircraft and the defensive missile are regard as a cooperative player, the geometric guidance law in two-dimensional space is developed based on the idea of controlling the defensive missile in the line between the offensive missile and the protected aircraft, also the stability of the geometric law is proved. Secondly, the designed guidance law is extended to the three-dimensional space by vector operations, so the three-dimensional guidance law is given. Simulation results show that the safetyness of the protected aircraft can be guaranteed using the derived gudiance law. Compared with the proportional guidance law, the geometric guidance law shortens the intercept time and improves the guidance precision greatly, and it overcomes the load divergence when using the PN guidance and reduces the requirement of the actuator.