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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 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 novel scheme
called 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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