Handbook of PI and PID Controller Tuning Rules, 2nd Edition

Appendix 2: Some Further Details on Process Modelling

Processes with time delay may be modelled in a variety of ways. The modelling strategy used will influence the value of the model parameters, which will in turn affect the controller values determined from the tuning rules. The modelling strategy used in association with each tuning rule, as described in the original papers, is indicated in the tables in Chapters 3 and 4. Some outline details of these modelling strategies are provided, together with the references that describe the modelling method in detail. The references are given in the bibliography. For all models, the label Model: Method 1 indicates that the model method has not been defined or that the model parameters are assumed known. Of the 1134 tuning rules specified (442 PI controller tuning rules, 692 PID controller tuning rules), it is startling to relate that only 386 (or 34%) of tuning rules have been specified based on a defined process modelling method.

A2.1 FOLPD Model

A2.1.1 Parameters estimated from the open loop process step or impulse response

Method 2:

Parameters estimated using a tangent and point method (Ziegler and Nichols, 1942).

Method 3:

K m, ? m determined from the tangent and point method of Ziegler and Nichols (1942); T m determined at 60% of the total process variable (Fertik and Sharpe, 1979).

Method 4:

K m, ? m assumed known; T m estimated using a tangent method (Wolfe, 1951).

Method 5:

Parameters estimated using a second tangent and point method (Murrill,...

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