The Stabilization Condition for Interval Type-2 Fuzzy Systems via Relaxed Membership-Parameter Matrix Inequalities

Abstract

This paper aims to investigate the relaxed stability condition for interval type-2 Takagi-Sugeno fuzzy systems via membership-parameter matrix inequalities. The membership framework of interval type-2 fuzzy sets is structured in convex polytopes with a straightforward method. The stabilization syn-thesis with a non-parallel distributed compensator controller in-corporating lower and upper membership functions is achieved in the sense of a matrix. Moreover, this paper introduces the relaxation strategy for the orthogonal complement, effectively reducing the number of decision variables related to the linear matrix inequalities. In conclusion, examples are presented to demonstrate the effectiveness and applicability of the proposed methods.