A Fuzzy Lyapunov Function Approach to Stabilization of Interval Type-2 T-S Fuzzy Systems

摘要

This paper focuses on deriving the stability conditions of interval type-2 fuzzy-model-based (FMB) control system formed by the interval type-2 T-S fuzzy model and the interval type-2 T-S fuzzy controller connected in a closed loop.To reduce the conservativeness of stability analysis,a fuzzy Lyapunov function,considering the property of membership functions,is adopted.The stability conditions in terms of linear matrix inequalities (LMIs) are obtained.A numerical example shows the effectiveness of the proposed conditions.