Open AccessNew Approach of Stability for Time-Delay Takagi-Sugeno Fuzzy System Based on Fuzzy Weighting-Dependent Lyapunov Functionals
Author(s) -
Yassine Manai,
Mohamed Benrejeb,
Pierre Borne
Publication year - 2011
Publication title -
applied mathematics
Language(s) - English
Resource type - Journals
eISSN - 2152-7393
pISSN - 2152-7385
DOI - 10.4236/am.2011.211187
Subject(s) - weighting , stability (learning theory) , control theory (sociology) , fuzzy logic , mathematics , fuzzy control system , linear matrix inequality , stability conditions , upper and lower bounds , mathematical optimization , computer science , control (management) , artificial intelligence , statistics , discrete time and continuous time , mathematical analysis , machine learning , medicine , radiology
This paper deals with the stability of Takagi-Sugeno fuzzy models with time delay. Using fuzzy weighting- dependent Lyapunov-Krasovskii functionals, new sufficient stability criteria are established in terms of Linear Matrix Inequality; hence the stability bound of upper bound delay time can be easily estimated. Finally, numeric simulations are given to validate the developed approach