Passivity Analysis and Passive Control for T-S Fuzzy Systems with Leakage Delay and Mixed Time-Varying Delays | Zendy

Ting Lei | Zendy; Zengshun Chen | Zendy; Qiankun Song | Zendy; Zhenjiang Zhao | Zendy

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Passivity Analysis and Passive Control for T-S Fuzzy Systems with Leakage Delay and Mixed Time-Varying Delays

Author(s) -

Ting Lei,

Zengshun Chen,

Qiankun Song,

Zhenjiang Zhao

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/524028

Subject(s) - passivity , mathematics , control theory (sociology) , fuzzy logic , leakage (economics) , linear matrix inequality , fuzzy control system , control (management) , mathematical optimization , computer science , engineering , artificial intelligence , electrical engineering , economics , macroeconomics

The passivity and passification for Takagi-Sugeno (T-S) fuzzy systems with leakage delay and both discrete and distributed time-varying delays are investigated. By employing the Lyapunov functional method and using the matrix inequality techniques, several delay-dependent criteria to ensure the passivity and passification of the considered T-S fuzzy systems are established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. The obtained results generalize some previous results. Two examples are given to show the effectiveness of the proposed criteria

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