A new method is described to simultaneously model the dynamics and disturbance for a paper-making process from a set of on-line step input response data. The response is decomposed into two parts — a deterministic part represented by the response of an nth order linear system, and a stochastic part characterized by an Autoregressive Moving Average time series model. The differential equations representing the dynamics of the noise are also obtained and discussed. A general modeling strategy and estimation procedure for arbitrary inputs and unkown deal-time is outlined.

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