Observer-based fuzzy adaptive control for strict-feedback nonlinear systems.

*(English)*Zbl 1175.93135Summary: A new fuzzy adaptive control approach is developed for a class of single-input single-output strict-feedback nonlinear systems with unmeasured states. Using fuzzy logic systems to approximate the unknown nonlinear functions, a fuzzy adaptive observer is introduced for state estimation as well as for system identification. Under the framework of the backstepping design, fuzzy adaptive output feedback control is constructed recursively. It is proven that the proposed fuzzy adaptive control approach guarantees the semi-global boundedness property for all the signals and the tracking error to a small neighborhood of the origin. Simulation studies are included to illustrate the effectiveness of the proposed approach.

##### MSC:

93C42 | Fuzzy control/observation systems |

93C40 | Adaptive control/observation systems |

93C10 | Nonlinear systems in control theory |

93B52 | Feedback control |

##### Keywords:

fuzzy control; adaptive control; nonlinear systems; state observer; backstepping; stability
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\textit{S. Tong} and \textit{Y. Li}, Fuzzy Sets Syst. 160, No. 12, 1749--1764 (2009; Zbl 1175.93135)

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##### References:

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