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H Sampled-Data Fuzzy Observer Design for Nonlinear Parabolic PDE Systems

Abstract : This paper considers the H∞ sampled-data fuzzy observer (SDFO) design problem for nonlinear parabolic PDE systems under spatially local averaged measurements (SLAMs). Initially, the nonlinear PDE system is accurately represented by the Takagi-Sugeno (T-S) fuzzy PDE model. Then, based on the T-S fuzzy PDE model, a SDFO under SLAMs is constructed for the state estimation. To attenuate the effect of the exogenous disturbance and the design disturbance, an H∞ SDFO design under SLAMs is developed in terms of linear matrix inequalities (LMIs) by utilizing Lyapunov functional and inequality techniques, which can guarantees the exponential stability and satisfies an H∞ performance for the estimation error fuzzy PDE system. Lastly, simulation results on the state estimation of the FitzHugh-Nagumo (FHN) equation are given to support the presented H∞ SDFO design method.
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https://hal.archives-ouvertes.fr/hal-02872071
Contributor : Frédéric Davesne <>
Submitted on : Wednesday, June 17, 2020 - 3:06:29 PM
Last modification on : Monday, July 6, 2020 - 11:32:56 AM

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Zi-Peng Wang, Huai-Ning Wu, Mohammed Chadli. H Sampled-Data Fuzzy Observer Design for Nonlinear Parabolic PDE Systems. IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, In press, pp.1-1. ⟨10.1109/TFUZZ.2020.2973943⟩. ⟨hal-02872071⟩

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