Angular constrained guidance law and its optimization with hybrid optimization algorithm

A new guidance law with terminal trajectory angle constraint is designed for bank to turn flight vehicle, which aims at the fixed position ground target. The general form of guidance law with sight angle and sight angle velocity as feedback variables is presented, and the stability of it is proved via finite time convergent stability theory, which makes traditional optimal guidance as a specific example of this general form guidance law. Parameters optimization of this guidance law is proposed using a hybrid optimization algorithm in order to help the designer to find suitable parameters, which can have the specific characteristics they are seeking for. Numerical simulation shows that the proposed guidance law is effective and the hybrid optimization algorithm can get the optimal solution of the guidance law design problem more quickly than before.