PID Control in the Third Millennium pp 147-175 | Cite as

# The SIMC Method for Smooth PID Controller Tuning

## Abstract

The SIMC method for PID controller tuning (Skogestad in J. Process. Control 13:291–309, 2003) has already found widespread industrial usage. This chapter gives an updated overview of the method, mainly from a user’s point of view. The basis for the SIMC method is a first-order plus time delay model, and we present a new effective method to obtain the model from a simple closed-loop experiment. An important advantage of the SIMC rule is that there is a single tuning parameter (*τ* _{ c }) that gives a good balance between the PID parameters (*K* _{ c },*τ* _{ I },*τ* _{ D }) and can be adjusted to get a desired trade-off between performance (“tight” control) and robustness (“smooth” control). Compared to the original paper of Skogestad (J. Process. Control 13:291–309, 2003), the choice of the tuning parameter *τ* _{ c } is discussed in more detail, and lower and upper limits are presented for tight and smooth tuning, respectively. Finally, the optimality of the SIMC PI rules is studied by comparing the performance (IAE) versus robustness (*M* _{ s }) trade-off with the Pareto-optimal curve. The difference is small, which leads to the conclusion that the SIMC rules are close to optimal. The only exception is for pure time delay processes, so we introduce the “improved” SIMC rule to improve the performance for this case.

## Keywords

Controller Gain Phase Margin Load Disturbance Input Change Integrate Absolute Error## References

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