In this paper, a two point guidance law for homing interceptors using finite time second order sliding mode control and based on parallel navigation is proposed. In the proposed guidance law, sliding surface is selected as the line of sight rate and the target maneuvers are considered as an uncertainty which only needs the upper bound of these maneuvers. Furthermore, the proposed algorithm can guarantee the finite time convergence of the LOS rate to zero or a small neighborhood of zero. Therefore, the performance and stability of guidance loop against maneuvering targets are increased.

Keywords: guidance law, parallel navigation, second order sliding mode, finite time control.

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