Abstract:a new low-dimensional approximation strategy is proposed for a class of nonlinear distributed parameter systems (DPS) with nonlinear uncertainties. Firstly, spectral method is used to obtain spectral based model with nominal nonlinear terms of DPS. After neglecting the nonlinear terms of the spectral based model, balanced truncation model reduction is carried out to obtain a balanced transform matrix and reduced linear terms. Lastly, a low-dimensional hybrid intelligent neural network model is used to identify… Show more
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