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This paper presents an adaptive path following control law to steer underactuated ships along a predefined path at a constant forward speed with uncertain parameters due to changes of added mass matrices.The proposed controller is based on analytic model predictive control and model reference adaptive control.The SerretFrenet frame is used to describe the ship dynamics.The analytic model predictive control provides a systematic method rather than try-and-error method to get appropriate control parameters to guarantee the stability of the closed-loop system,and the well-defined relative degree is guaranteed by introducing output-redefinition.An identification algorithm based on model reference adaptive control is used to identify the uncertain parameters.Numerical simulations are provided to demonstrate the validity of the proposed control law.
This paper presents an adaptive path following a control path to a constant path speed with a variable parameter due to changes in added matrices. The proposed controller is based on analytic model predictive control and model reference adaptive control. SerretFrenet frame is used to describe the ship dynamics. The analytic model predictive control provides a systematic method rather than try-and-error method to get the appropriate control parameters to guarantee the stability of the closed-loop system, and the well-defined relative degree is guaranteed by introducing output-redefinition. An identification algorithm based on model reference adaptive control is used to identify the uncertain parameters. Numerical simulations are provided to demonstrate the validity of the proposed control law.