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This paper discusses the estimation of the parameters (including the time delay) of single input, single output (SISO) process models from an appropriate number of arbitrarily specified points on the process frequency response. The method involves combining an analytical approach with a least squares approach using a gradient algorithm, to provide accurate and robust estimates of the parameters.
O'Dwyer, Aidan and Ringwood, John :Model parameter and time delay estimation in the frequency domain. Proceedings of the 6th Irish Colloquium on DSP and Control, pp. 39-46, Queens University Belfast, June. doi:10.21427/cgmp-fr57