A fuzzy Lyapunov function approach to stabilization of interval type-2 T-S fuzzy systems
Control and Decision Conference（2013）
摘要
This paper focuses on deriving the stability conditions of interval type-2 fuzzy-model-based (FMB) control system formed by the interval type-2 T-S fuzzy model and the interval type-2 T-S fuzzy controller connected in a closed loop. To reduce the conservativeness of stability analysis, a fuzzy Lyapunov function, considering the property of membership functions, is adopted. The stability conditions in terms of linear matrix inequalities (LMIs) are obtained. A numerical example shows the effectiveness of the proposed conditions.
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关键词
lmi,membership function property,stability criteria,closed loop system,stability condition,fuzzy systems,stability analysis conservativeness reduction,interval type-2 fuzzy model-based control system,interval type-2 t-s fuzzy controller,linear matrix inequalities,fuzzy lyapunov function,fuzzy control,stability analysis,interval type-2 t-s fuzzy systems,closed loop systems,lyapunov methods,numerical stability,control systems,nonlinear systems
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