Numerical Solution of a Nonlinear Guidance Problem by Dynamical Parameter Continuation Method

The dynamical parameter continuation method is considered. It is implemented for the planar non-linear guidance problem with the stationary target. In this approach, the system dynamics is parameterized in such a way that if the parameter is equal to zero, the dynamics is the quadratic-kinematic approximation of the original system, whereas if the parameter is equal to one, it is the original one. We propose an improved formalization of the method that allows convenient handling of the boundary conditions, and derive a numerical procedure. It is shown that the proposed method converges from the wider set of initial and terminal conditions than the classical parameter continuation method.