Second-order optimal line-of-sight guidance law for minimum and nonminimum phase control systems

A closed-loop optimal line-of-sight (LOS) guidance law is derived for second-order minimum and nonminimum phase control systems with two zeros. To reduce the effect of wind, the square of the velocity component normal to the LOS is added to performance index. The solution is normalized and obtained in one-dimension. The performance analysis is carried out using one-dimensional simulation and 3DOF flight simulation in the vertical plane in the presence of wind, and compared to zero-lag and first-order optimal guidance schemes. Moreover, the effects of weighting coefficient, zero location, and acceleration limit are investigated.