Application of Dual-Euler Control Method to Water-Trajectory Design of Missile Carrier

When a sub-launching missile carrier takes horizontal launch and vertical water-exit, the traditional water trajectory control system fails to work normally due to the singularity of Euler angles. In this paper, two Euler angle systems with their own singularity features are adopted to design a new control method. In initial stage of trajectory, positive Euler angles are used to accomplish the evadable and ascending motions, while the reverse Euler angles are employed to control pitching angle to 90° precisely at the water-exit stage. Simulation results show that the proposed dual-Euler control method can make the trajectory data intuitive and clearly improve the precision of water-exit pitch angle. This method can be applied to control scheme design of missile carrier water trajectory, and can also be extended to related control system design concerning large attitude maneuver.