Impact time control with generalized look angle formulation under constraint

The nonlinear impact time control problem against stationary targets is investigated. The guidance law utilized in this paper is derived via shaping one of the fundamental states of the engagement. For that purpose, polynomial shaping of the look angle is considered. First, the boundary conditions of the engagement are introduced and the general form of the guidance law is presented. Afterwards, guidance gain determination for any order and the time domain solutions of the engagement are presented for the linearized kinematics. Later, the guidance law is modified for look angle constraint in an adaptive application scheme, which facilities closed loop application. The performance of the proposed guidance algorithm is demonstrated through simulations. In addition, a comparison study is held, whose results imply that the cubic polynomial is energy efficient for the look angle shaping.