Investigating One Class of Extended Open-Loop Guidance Problems

Abstract

An alternative solvability criterion and guiding control construction procedure are proposed in one class of extended open-loop guidance problems. A control system is described by linear differential equations. The control domain is a rectangular parallelepiped, and the convex and closed target set has a special form. An equivalent system of linear inequalities is constructed for the extended open-loop guidance problem, and a correspondence between their solutions is established. The difference between the developed scheme and the known research techniques of this class of problems is the possibility of solvability criterion verification and search for guiding control in analytical form in a finite number of steps. The proposed technique for solving the extended openloop guidance problem is illustrated using a concrete example.