Status : Verified
| Personal Name | Gacuan, Jake M. |
|---|---|
| Resource Title | Implementation of Skogestad’s internal model control (SIMC) rule in tuning proportional-integral (PI) controllers for two-input and two-output (TITO) systems considering individual controller performance trade-off |
| Date Issued | 29 June 2023 |
| Abstract | Tuning of decentralized Proportional-Integral-Derivative feedback (PID) controllers in Multiple-Input and Multiple-Output (MIMO) systems is a complex problem because of the interactions between the input and output variables. In industrial plants, MIMO system control is viewed as tuning the controllers individually to make sure individual control objectives are met, while ensuring that the system is still robust overall. In this study, a two-input and two-output (TITO) PI controller tuning algorithm was developed considering the prioritization of individual controller performance given performance trade-offs, expressed as the novel Individual Controller Performance Trade-off Coefficient (ICPTC), and system robustness, expressed as sensitivity peaks from the generalized Nyquist stability expression. Simplified effective open-loop transfer functions (EOTFs) of the two input-output channels were derived and were used along with Skogestad’s Internal Model Control (SIMC) to calculate PI controller gains. Extensive simulations using Wood-Berry (WB) and Vinante-Luyben (VL) distillation column models were made by changing the design closed-loop response time of both controllers. The tuning algorithm was then developed based on the observed behavior of the sensitivity peak across the simulations. A mapping algorithm was derived to map existing PID controllers to equivalent PI controllers from the tuning algorithm, allowing comparisons of individual controller performance between the two controllers to be made. A simplified tuning algorithm was developed for scenarios with less available information. The tuning algorithm was tested using Chien et al.’s Industrial Polymerization Reactor (PR), Wardle-Wood distillation column (WW) and Xiong and Cai (XC) models and the trade-off between controller performances was demonstrated as ICPTC is varied, at different values of design sensitivity peaks set between 1.96 to 4. The mapping algorithm was shown to yield PI controllers that |
| Degree Course | MS Chemical Engineering |
| Language | English |
| Keyword | MIMO PI controller tuning; Nyquist plot; sensitivity peak; controller performance; PID controllers; Skogestad's IMC Rule |
| Material Type | Thesis/Dissertation |
Preliminary Pages
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Category : F - Regular work, i.e., it has no patentable invention or creation, the author does not wish for personal publication, there is no confidential information.
Access Permission : Open Access