Mamdani and Takagi-Sugeno fuzzy controller design for ship fin stabilizing systems

This paper studies the intelligent controller design problem based on fuzzy approach for the stabilization of nonlinear ship´s lift feedback fin stabilizing systems. The fuzzy controller is designed by using Mamdani and Takagi-Sugeno (T-S) fuzzy control methods. For the T-S fuzzy control approach, the considered nonlinear plant is represented by a T-S fuzzy model. Then, the parallel distributed compensation technique is used to design a model-based fuzzy controller. The main idea of the PDC fuzzy controller is to derive linear controller so as to compensate each fuzzy rule of the T-S fuzzy model. Furthermore, the stability conditions derived in this paper are in term of the linear matrix inequalities which can be solved by convex optimal programming algorithm. Finally, the simulation results of a ship´s lift feedback fin stabilizing system are provided to show that the proposed fuzzy controller design methods are effective.