A linearized model for the line of sight guidance law

This paper deals with the linearization of the nonlinear model describing the kinematics equations of the line of sight guidance law. The linearized model is derived based on optimization techniques, where different cost functions are used. It turns out that in the case of maneuvering targets, the linear coefficients are time independent and time dependent in the case of maneuvering targets. In both cases these coefficients depend on the initial line of sight angle, which means that the linearization has the same order as the nonlinear system. The linearization method is illustrated using simulation, and a comparison with the classical linearization is provided.