Spatio-Temporal Volterra Modeling for a Class of Nonlinear DPS

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-Loeve (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.