Finite Time Stability Analysis of Interval Type-2 Fuzzy Polynomial Positive Systems Based on Interval Type-2 Fuzzy Lyapunov Function

In this paper, we study the problem of finite time stabilization of interval type-2 (IT2) fuzzy polynomial positive systems. Stability analysis using interval type 2 (IT2) fuzzy co-positive Lyapunov function (FCLF) is performed to obtain stability and positivity conditions. Although the above IT2 FCLF can bring more relaxed effectiveness, it also will cause the non-convex problem more complicated. Hence, Converting non-convex conditions into convex conditions is the key to successfully design a controller. To achieve this goal, design of feedback control gain using matrix decomposition technique. Besides, the obtained results are very conservative if we ignore the information about the membership functions. In order to reduce the conservatism, the basic stability condition is relaxed by introducing the property that the sum of the derivatives of the membership functions(DMF) is zero, which can effectively enhance the relaxation of the analysis results. Finally, a sample simulation verifies the validity of the method.