Stabilization of Takagi-Sugeno fuzzy interconnected systems with imperfect premise matching

This paper is concerned with the stabilization of Takagi-Sugeno (T-S) fuzzy interconnected systems. The nonlinear interconnected system is presented by T-S fuzzy model. To reduce conservative stabilization conditions, imperfect premise matching is proposed in which T-S fuzzy model and fuzzy controller do not share the same membership functions. The stabilization condition is formulated in terms of linear matrix inequalities (LMIs). Simulation example is given to illustrate the effectiveness of the proposed approach.