Abstract:This paper proposes a passive fuzzy controller design for the discrete ship steering system that is represented by the Takagi-Sugeno (T-S) fuzzy model with multiplicative noises. Applying the Lyapunov theory for guaranteeing mean square stability, the sufficient conditions are developed to design the fuzzy controller for the T-S fuzzy model with multiplicative noises. The sufficient conditions derived in this paper belong to the Linear Matrix Inequality (LMI) forms which can be solved by the convex optimal programming algorithm. Besides, the fuzzy controller is carried out by the concept of Parallel Distribution Compensator (PDC). Finally, the simulation results are proposed to show that the strictly input passivity and mean square stability of the closed-loop system can be achieved via the designed fuzzy controller.