Control system design for dynamic positioning using vectorial backstepping

The problem of synthesis a dynamic positioning system for low frequency model of surface vessel was considered in this paper. The recursive vectorial backstepping control design was used to keep a fixed position and heading in presence of wave disturbances. The passive observer was introduced to smooth the measurements and to estimate the velocities needed for the control algorithm. The computer simulation results were given to demonstrate the effectiveness of that combination of controller-observer system to compensate environmental disturbances.