Trajectory Tracking Control of an Autonomous Vessel in the Presence of Unknown Dynamics and Disturbances

We present a proportional-integral-derivative-based controller plus an adaptive slide surface to solve the trajectory tracking control problem for a fully actuated vessel with unknown parameters perturbed by slowly varying external unknown dynamics. The controller design assumes that the vessel moves at low speed and frequency, its physical parameters are unknown, and its state is measurable. The control approach ensures error tracking convergence toward a small vicinity at the origin. We conduct the corresponding stability analysis using the Lyapunov theory and saturation functions. We tested the controller through two numerical experiments-a turning ellipse maneuver and a rest-to-rest maneuver-where the vessel parameters were unknown, and we obtained satisfactory results.