Three-Dimensional Impact Angle Constrained Guidance Laws with Fixed-Time Convergence

In this paper, three dimensional coupled engagement dynamics are firstly transformed into a state-space form without decoupling three dimensional engagement dynamics into two mutually orthogonal planes to avoid degrading the performance of the guidance law. Specially, fixed-time guidance laws are proposed to guarantee that the line-of-sight (LOS) angular rates can be steered to zero before the final time of the guidance process at the same time. The exact convergence time can be set beforehand with respect to the LOS rates, and it is independent of initial conditions with respect to the guidance system. Moreover, impact angle constraint is taken into account, and these guidance laws are robust against maneuvering targets by sliding mode techniques. Simulation results validate the effectiveness of the proposed algorithms.

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