Abstract
A three-dimensional trajectory tracking guidance law is designed based on the theory of linear quadratic regulator(LQR), which can help to solve the problem of long range trajectory tracking for air-defense missile in high altitude. Firstly, the missile mass model is linearized by using the coordinate variable of X axial. Secondly, the guidance parameters and mathematical model are obtained by designing state variables and control variables. At last, the three-dimensional trajectory tracking guidance law were proposed with theory of LQR. When the trajectory deviation is given, the simulation results show that the guidance law designed in this paper can suppress the disturbance and track ideal trajectory accurately.
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