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**Optimal fuzzy control for a class of nonlinear systems.**
*(English)*
Zbl 1264.93125

Summary: We present conditions suitable in design giving quadratic performances to stabilizing controllers for given class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. Based on extended Lyapunov function and slack matrices, the design conditions are outlined in the terms of linear matrix inequalities to possess a stable structure closest to LQ performance, if premise variables are measurable. Simulation results illustrate the design procedure and demonstrate the performances of the proposed control design method.

### MSC:

93C42 | Fuzzy control/observation systems |

93D15 | Stabilization of systems by feedback |

49N10 | Linear-quadratic optimal control problems |

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\textit{D. Krokavec} and \textit{A. Filasová}, Math. Probl. Eng. 2012, Article ID 481942, 29 p. (2012; Zbl 1264.93125)

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### References:

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