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A model predictive controller is proposed for path following of survey ships with respect to control constraints. The control system is a typical nonlinear system which has characters such as strong nonlinear, environmental disturbances and control constraints. The proposed predictive control strategy can asymptotically stabilize ships onto the desired straight-line reference path. Numerical simulation results illustrate the validity of the designed controller and show that the proposed controller demonstrates high effectiveness and good robustness while satisfying the control input constrains.