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Robust stabilization for continuous Takagi-Sugeno fuzzy system based on observer design. (English) Zbl 1264.93131

Summary: We investigate the influence of a new parallel distributed controller (PDC) on the stabilization region of continuous Takagi-Sugeno (\(T-S\)) fuzzy models. Using a nonquadratic Lyapunov function, a new sufficient stabilization criterion is established in terms of linear matrix inequality. The criterion examines the derivative membership function; an approach to determine state variables is given based on observer design. In addition, a stabilization condition for uncertain system is given. Finally, numeric simulation is given to validate the developed approach.

MSC:

93C42 Fuzzy control/observation systems
93D21 Adaptive or robust stabilization
93B07 Observability
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