This paper discusses the estimation of the parameters (including the time delay) of a generalized single-input, single-output (SISO) process model 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 estimates of the parameters.
Deshpande, P. B. and Ash, R. H.1983: Elements of computer process control with advanced control applications. Englewood Cliffs, New Jersey: Instrument Society of America/Prentice-Hall.
2.
Dos Santos, P. L. and De Carvalho, J. L. M. 1990: Automatic transfer function synthesis from a Bode plot. Proceedings of the 29th Conference on Decision and Control, Honolulu, Hawaii, 1093-1098.
3.
Isermann, R., Baur, U., Bamberger, W., Kneppo, P. and Seibert, H.1974: Comparison of six on line identification and parameter estimation methods. Automatica10, 81-103.
4.
Koganezawa, K. 1991: On-line parameter identification of non-stationary continuous system with time-variant delay. Proceedings of the 1991 International Conference on Industrial Electronics, Kobe, Japan, Vol. 3, 1990-1993.
5.
Lilja, M. 1988: Least squares fitting to a rational transfer function with time delay. IEE Control Conference143-146.
6.
Palmor, Z. J. and Blau, M.1994: An auto-tuner for Smith dead time compensator. International Journal of Control60, 117-135.
7.
Seborg, D. E., Edgar, T. F. and Mellichamp, D. A.1989: Process dynamics and control. New York: John Wiley.
8.
Sundaresan, K. R. and Krishnaswamy, P. R.1978: Estimation of time delay, time constant parameters in time, frequency and Laplace domains. The Canadian Journal of Chemical Engineering56, 257-262.
9.
Unbehauen, H. and Rao, G. P.1987: Identi-fication of continuous systems, Vol. 10, North Holland System and Control Series. Amsterdam: Elsevier Science.