Fuzzy Controller Design Subject to Actuator Saturation for Dynamic Ship Positioning Systems with Multiplicative Noises

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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