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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Spatio-Temporal Volterra Modeling for a Class of Nonlinear DPS
verfasst von : Han-Xiong Li, Chenkun Qi
Erschienen in: Spatio-Temporal Modeling of Nonlinear Distributed Parameter Systems
Verlag: Springer Netherlands
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To model the nonlinear distributed parameter system (
DPS
), a spatio-temporal Volterra model is presented with a series of spatio-temporal kernels. It can be considered as a nonlinear generalization of Green’s function or a spatial extension of the traditional Volterra model. To obtain a low-order model, the Karhunen-Loève (
KL
) method is used for the time/space separation and dimension reduction. Then the model can be estimated with a least-squares algorithm with the convergence guaranteed under noisy measurements. The simulation and experiment are conducted to demonstrate the effectiveness of the presented modeling method.