Paper Info
Title
Membership-dependent stability conditions for type-1 and interval type-2 T-S fuzzy systems.
Abstract
This paper presents an idea to simplify and relax the stability conditions of Takagi–Sugeno (T–S) fuzzy systems based on the membership function extrema1. 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.
Year
DOI
Venue
2019
10.1016/j.fss.2018.01.018
Fuzzy Sets and Systems
Keywords
Field
DocType
Stability analysis,T–S fuzzy system,Membership function,Convex polyhedron
Applied mathematics,Discrete mathematics,Stability conditions,Maxima and minima,Convex polytope,Fuzzy control system,Membership function,Mathematics,Linear matrix inequality,Trajectory
Journal
Volume
ISSN
Citations 
356
0165-0114
11
PageRank 
References 
Authors
0.51
22
3
Name
Order
Citations
PageRank
Xiaozhan Yang1211.67
H. K. Lam23618193.15
Ligang Wu34523196.66