Operation and Control of Pressure Swing Adsorption Systems

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Operation and Control of Pressure Swing Adsorption Systems ( operation-and-control-pressure-swing-adsorption-systems )

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Chapter 4. Explicit/Multi-Parametric MPC Control of PSA Systems 100 80 60 40 20 0 −20 −40 −60 −80 −100 −100 −80 −60 −40 −20 0 20 40 60 80 100 x 1 CR001 CR002 CR003 CR004 CR005 CR006 CR007 CR008 CR009 Figure 4.13: Two dimensional projection of the 22 critical region (CR) polyhedral, corresponding to the 8th order reduced SS model (Eq. 4.22 to 4.25), [x2 = 0, x2 =0,...,x7 =0,u=85,y=0,yr =0],N=4,M=2andR=30 ming problem is solved, yielding a set of affine functions relating the control law explicitly to the parametric set. The corresponding critical regions over which these relationships hold are also derived and stored for later use (online). Table 4.7 shows the number of critical regions for each of the reduced SS model while Figure 4.13 depicts the critical region maps for state variables x1 and x8 of the 8th order SS model, with the regions in white color representing the infeasible region. The affine functions related to each critical region are shown in Table 4.8. Here, θ represents the particular parametric set (x1, x2, ...,u, y, yr). The matrix inequalities, which each parametric set needs to satisfy for each critical region is not displayed here because of the large size of matrix A and vector b.1 1Provided upon request from the authors. 90 x 8

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