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Repetitive Control of Simulated Moving Bed Process based on Cubic Spline Collocation Model and Successive Linearization

Kwangsoon Lee, Woohyun Yun, Jay H Lee
A new repetitive control (RC) technique for the simulated moving bed(SMB) process has been proposed. The RC technique was designed on the basis of a fundamental SMB model successively linearized around the operating trajectories in the previous period. It performs regulation of averaged product purities over each period at both extract and raffinate ports. To obtain a low-order but reliable
fundamental SMB model for the RC design, we adopted a cubic spline collocation method combined with the far-side boundary condition. Through application to a numerical SMB process, it was found that the proposed RC technique performs quite satisfactorily against model error as well as set point and disturbance changes.
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