Spatio-Temporal Volterra Modeling for a Class of Nonlinear DPS

  • Han-Xiong Li
  • Chenkun Qi
Part of the Intelligent Systems, Control and Automation: Science and Engineering book series (ISCA, volume 50)


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.


Model Predictive Control Distribute Parameter System Volterra Series Volterra Model Laguerre Function 
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© Springer Netherlands 2011

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  • Han-Xiong Li
    • Chenkun Qi

      There are no affiliations available

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