Abstract:This paper addresses the feedback stabilization problems for the nonlinear stochastic Dynamic Positioning Systems for Ship (DPSS) with external disturbances. According to the Takagi-Sugeno (T-S) fuzzy model, the stabilization problems of DPSS can be analyzed and designed via linear controller design method theory. Through the method, the sufficient condition is proposed to guarantee the stochastic DPSS with external disturbance can be achieved mean square stable by the designed fuzzy controller. In addition to stability analysis, the performance of attenuating external disturbance input is achieved via passivity theory. Therefore, the Linear Mat-rix Inequality (LMI) technique is applied to calculate the sufficient conditions to design the fuzzy controller.