This paper deals with the fuzzy controller design problem for the dynamic ship positioning systems with multiplicative noises. The Takagi-Sugeno (T-S) fuzzy model is employed to represent the non-linear dynamic ship positioning systems. Subject to actuator saturation, some sufficient conditions are derived to guarantee the stability of the closed-loop systems. The stability conditions developed in this paper can be coordinated to the linear matrix inequality (LMI) constraints. By solving these LMI stability conditions, a parallel distributed compensation (PDC)-based fuzzy controller is obtained to stabilize the T-S fuzzy models with multiplicative noises. In order to illustrate the availability and practicability of proposed fuzzy controller design approach, a numerical simulation is provided to express the controlled responses of dynamic ship positioning systems with multiplicative noises.

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