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Further Studies on Stability and Stabilization of T‐S Fuzzy Systems With Time‐Varying Delays via Fuzzy Lyapunov‐Krasovskii Functional Method
Author(s) -
Tan Jiyong,
Dian Songyi,
Zhao Tao
Publication year - 2018
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1697
Subject(s) - mathematics , bounding overwatch , control theory (sociology) , fuzzy logic , stability (learning theory) , quadratic equation , stability conditions , fuzzy control system , term (time) , computer science , control (management) , artificial intelligence , statistics , physics , geometry , discrete time and continuous time , quantum mechanics , machine learning
This paper discusses the issue of stability analysis and stabilization of Takagi‐Sugeno (T‐S) fuzzy systems with time‐varying delays. By constructing an appropriate augmented fuzzy Lyapunov‐Krasovskii functional (LKF) including non‐quadratic Lyapunov matrices and triple and quadruple integral term,less conservative and newer stability conditions are introduced. In order to obtain stability conditions in the form of linear matrix inequalities (LMIs), some tighter bounding inequalities are employed to estimate the derivative of LKF. Several examples are provided to illustrate the effectiveness of the suggested approaches.