Stability Analysis for Interval Type-2 Fuzzy Systems based on Network Environments under Imperfect Premise Matching

In order to over come the shortcoming of PDC and obtain some less conservative stability condition, the imperfect premise matching concept, which the fuzzy plant and fuzzy controller share different membership function, is proposed to construct the state feedback controller to stabilize the NCSs based on the interval type-2 fuzzy systems. By introducing the information of upper and lower membership functions of both fuzzy model and fuzzy controller, the stabilization condition of the interval type-2 networked closed-loop system is established, which is less conservative than the membership independent stability condition. A numerical example is used to show the less conservative of the proposed method.