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