Abstract: A new 3-dimensional (3D) guidance law is proposed to deal with the coupling of bank-to-turn (BTT) missile. First, through vector description the kinematic model is divided into the three terms of pitching, swerve and coupling. Pitching and swerve are described in the Cartesian space, while coupling is described in the SO(3) space. Then, corresponding to no ending constraints and ending constraints, guidance laws are designed using respectively the proportional control and the generalized proportional-derivative (PD) control, which can avoid both the complexity of the Lie-group method and the information loss of the traditional decoupling method. Simulation results show that the proposed guidance law can satisfy the guidance precision requirements of BTT missiles.

Key words: missiles, guidance law, Lie-group, decoupling, bank-to-turn, SO(3)