The regeneration feedback tracking system

or called as computer aided tracking system

can very effectively track large dynamic targets with high accuracy. Digital computers have been used to analyze performance data owing to the fact that the system is a nonlinear one with multi-inputs and multi-outputs.This paper proposes a time-domain approach. And a mathematical model for the system analysis is achieved. In most cases

such multi-inputs and multi-outputs nonlinear system can be converted into a discoupled linear time-invariant system

which can be used to analyze in cartesian coordinates error caused by manoeuvre flying of targets and random error of tracking and in spherical coordinates mismatched error. Two examples given show good agreements between results obtained by this approach and those by digital computer simulation. It is concluded that well-known classical frequency method can be used for system analysis and analytical method thus obtained is most applicable for engineering calculation. An optimized system design is also presented.