TY - JOUR
T1 - Optimization-based nonlinear centralized controller tuning of liquid-liquid extraction processes
AU - Mjalli, Farouq S.
PY - 2005/7
Y1 - 2005/7
N2 - The control problem of an agitated contactor is considered in this work. A Scheibel extraction column is modeled using the non-equilibrium backflow mixing cell model. Model dynamic analysis shows that this process is highly nonlinear, thus the control problem solution of such a system needs to tackle the process nonlinearity efficiently. The control problem of this process is solved by developing a multivariable nonlinear control system implemented in MATLAB™. In this control methodology, a new controller tuning method is adopted, in which the time-domain control parameter-tuning problem is solved as a constrained optimization problem. A MIMO (multi-input multi-output) PI controller structure is used in this strategy. The centralized controller uses a 2 × 2 transfer function and accounts for loops interaction. The controller parameters are tuned using an optimization-based algorithm with constraints imposed on the process variables reference trajectories. Incremental tuning procedure is performed until the extractor output variables transient response satisfies a preset uncertainty which bounds around the reference trajectory. A decentralized model-based IMC (internal model control) control strategy is compared with the newly developed centralized MIMO PI control one. Stability and robustness tests are applied to the two algorithms. The performance of the MIMO PI controller is found to be superior to that of the conventional IMC controller in terms of stability, robustness, loops interaction handling, and step-change tracking characteristics.
AB - The control problem of an agitated contactor is considered in this work. A Scheibel extraction column is modeled using the non-equilibrium backflow mixing cell model. Model dynamic analysis shows that this process is highly nonlinear, thus the control problem solution of such a system needs to tackle the process nonlinearity efficiently. The control problem of this process is solved by developing a multivariable nonlinear control system implemented in MATLAB™. In this control methodology, a new controller tuning method is adopted, in which the time-domain control parameter-tuning problem is solved as a constrained optimization problem. A MIMO (multi-input multi-output) PI controller structure is used in this strategy. The centralized controller uses a 2 × 2 transfer function and accounts for loops interaction. The controller parameters are tuned using an optimization-based algorithm with constraints imposed on the process variables reference trajectories. Incremental tuning procedure is performed until the extractor output variables transient response satisfies a preset uncertainty which bounds around the reference trajectory. A decentralized model-based IMC (internal model control) control strategy is compared with the newly developed centralized MIMO PI control one. Stability and robustness tests are applied to the two algorithms. The performance of the MIMO PI controller is found to be superior to that of the conventional IMC controller in terms of stability, robustness, loops interaction handling, and step-change tracking characteristics.
KW - Centralized control
KW - Internal model control
KW - Liquid-liquid extraction
KW - Multivariable control
KW - NCD
KW - Nonlinear control
KW - Scheibel extractor
UR - http://www.scopus.com/inward/record.url?scp=23944512208&partnerID=8YFLogxK
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U2 - 10.1081/SEI-200062607
DO - 10.1081/SEI-200062607
M3 - Article
AN - SCOPUS:23944512208
SN - 0736-6299
VL - 23
SP - 561
EP - 582
JO - Solvent Extraction and Ion Exchange
JF - Solvent Extraction and Ion Exchange
IS - 4
ER -