Abstract: In accordance with the guidance procedure for modern fighter towards target airspace,this paper deals with a mathematic modal of the relative motion between fighter and target. Based on the correlation theory of optimizing control, a guidance arithmetic of plane, considering guidance angle error and the target line rotation speed error, is presented with the guidance veracity and economical control as performance indexes. The results of many simulations show the good adaptability of the guidance arithmetic, which is suitable for the guidance of aircraft.

Key words: guidance of plane, guidance arithmetic, optimal control, combination guidance, mathematic modal