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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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\textit{Y. Manai} and \textit{M. Benrejeb}, Math. Probl. Eng. 2012, Article ID 836814, 18 p. (2012; Zbl 1264.93131)

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### References:

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