This paper presents an idea to simplify and relax the stability conditions of Takagi-Sugeno (T-S) fuzzy systems based on the membership function extrema. By considering the distribution of membership functions in a unified membership space, a graphical approach is provided to analyze the conservativeness of membership-dependent stability conditions. Membership function extrema are used to construct a simple and tighter convex polyhedron that encloses the membership trajectory and produces less conservative linear matrix inequality (LMI) conditions. The cases of both type-1 and interval type-2 T-S fuzzy systems are considered, and comparison with existing methods is made in the proposed membership vector framework.
Membership-dependent stability conditions for type-1 and interval type-2 T-S fuzzy systems
2018-01-01
Yang , X , Lam , H K & Wu , L 2018 , ' Membership-dependent stability conditions for type-1 and interval type-2 T-S fuzzy systems ' Fuzzy Sets and Systems . DOI:10.1016/j.fss.2018.01.018
Article (Journal)
Electronic Resource
English
DDC: | 629 |
Control Design for Interval Type-2 Fuzzy Systems Under Imperfect Premise Matching
BASE | 2014
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