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RESEARCH PRODUCT
On stability and stabilization of singular uncertain Takagi-Sugeno fuzzy systems
Hamid Reza KarimiMohammed ChadliPeng ShiPeng Shisubject
Lyapunov functionComputer Networks and CommunicationsApplied MathematicsMathematicsofComputing_NUMERICALANALYSISStability (learning theory)Linear matrix inequalityrobust stabilityFuzzy control systemControl and Systems Engineering; Signal Processing; Computer Networks and Communications; Applied MathematicsFuzzy logicstabilizationsymbols.namesakeQuadratic equationTakagi sugenoControl and Systems EngineeringControl theoryComputer Science::Systems and ControlSignal ProcessingsymbolsTakagi-Sugeno fuzzy systemsMathematicsdescription
This paper deals with the problem of robust stability and robust stabilization for a class of continuous-time singular Takagi-Sugeno fuzzy systems. Sufficient conditions on stability and stabilization are proposed in terms of strict LMI (Linear Matrix Inequality) for uncertain T-S fuzzy models. In order to reduce the conservatism of results developed using quadratic method, an approach based on non-quadratic Lyapunov functions and S-procedure is proposed. Illustrative examples are given to show the effectiveness of the given results Refereed/Peer-reviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-03-01 |