Sliding-mode robust tracking control for an underactuated ship with nonzero off-diagonal terms
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摘要
For the trajectory tracking in three degrees of freedom underactuated ships with parameters uncertainties and time-varying disturbances, a robust sliding-mode methodology is proposed. The ship's mass matrices are not assumed to be diagonal, as often required in the literature. Based on the coordinate transformations, the nonzero off-diagonal matrices are turned into the diagonal matrices. The controller is divided into the kinetic loop and the dynamic loop. In the kinetic loop, the trajectory tracking errors are transformed into stabilizing sway and surge velocities errors by backstepping technique. In the dynamic loop, the surge force and the yaw moment are controlled by the sliding-mode to stabilize the sway and surge velocities errors, respectively. Based on the Lyapunov stability analysis, it is proved that the states of system are stable. Simulation results illustrate the effectiveness and robustness of the proposed control methodology.
For the trajectory tracking in three degrees of freedom underactuated ships with parameters uncertainties and time-varying disturbances, a robust sliding-mode methodology is proposed. The ship's mass matrices are not assumed to be diagonal, as often required in the literature. Based on the coordinate transformations, the nonzero off-diagonal matrices are turned into the diagonal matrices. The controller is divided into the kinetic loop and the dynamic loop. In the kinetic loop, the trajectory tracking errors are transformed into stabilizing sway and surge velocities errors by backstepping technique. In the dynamic loop, the surge force and the yaw moment are controlled by the sliding-mode to stabilize the sway and surge velocities errors, respectively. Based on the Lyapunov stability analysis, it is proved that the states of system are stable. Simulation results illustrate the effectiveness and robustness of the proposed control methodology.
引文
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