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In this paper, very simple method based on Prony method, which is known as one of the most representative methods in the exponential analysis method, is presented by which transfer function models for processes can easily be obtained. Here, the method is reformed and applied to obtain the so-called 3 parameter model (first-order transfer function with pure time delay model) from the data of the step response of the process system. The method gives different process models by changing the identification interval. Here the relation between the accuracy of identification and identification interval is considered from the viewpoint of integrated absolute error and integrated squared error. The obtained results are examined by applying it to the design of model-driven PID control of a typical test batch process model.

nihon kikai gakkai ronbunshū. c

Accuracy of Identification and Control Performance in 3 Parameter Process Model Approximations(Identification by Prony's Method and Examination through Model-Driven PID Control System Design)