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....

....

....

....

Section I

A+D ExtractDesorbent D

Section II

Section III

Raffinate B+D A+B Feed

Section IV

-A

-B

Direction of

Port Switching

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C CC C

Time [s]Time [s]

Elution profile (comp. A)

Axial concentration profile

Elution profile (comp. B)

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Model-BasedOptimization of

Operating Parameters

Identification ofLocal Black-Box

Models

Model-BasedParameter Estimation

Model-BasedControl

SMB-Process Process

On-LineControl

Off-LineOptimization

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-214.4 -160.8 -107.2 -53.6 0 53.6 107.2 160.8 214.4

0

0.4

0.1

0.2

0.3

0.4

0.5

Concentration[g/cm

]3

Nominal ParametersK -5%, K +5%

K -10%, K +10%A B

A B

Length [cm]

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Reduced Model

FrontPositions

Transformation

Process

Controller W

-

c(t)Q

U(z) Y(z)G (z)M

G (z)R

G (z)S

Evaluation

Function approximation

Surface quadrature

Wavelet analysis

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upper boundary

A1

A2

front position

lower boundary

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0 50 100 150 200 250 300 350 400 4500.025

0.02

0.015

0.01

0.005

0

0.005

0.01

0.015

0.02

0.025

k

y(k)=

p1

(k)

Reduced Model

Rigorous Model

0 50 100 150 200 250 300 350 400 4500.03

0.02

0.01

0

0.01

0.02

0.03

k

y(k)=

p2

(k)

Reduced Model

Rigorous Model

0 50 100 150 200 250 300 350 400 4500.04

0.03

0.02

0.01

0

0.01

0.02

0.03

0.04

k

y(k)=

p3

(k)

Reduced ModelRigorous Model

0 50 100 150 200 250 300 350 400 4500.02

0.015

0.01

0.005

0

0.005

0.01

0.015

0.02

0.025

k

y(k)=

p4

(k)

Reduced ModelRigorous Model

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Time (samples)

Amplitude

Step Response

0

0.1

0.2

From: U1

To:

Y1

From: U2 From: U3 From: U4

0

0.1

0.2

To

:Y2

0.2

0.1

0

To:

Y3

0 10 20 30

0.15

0.1

0.05

0

To:

Y4

0 10 20 30

0 10 20 30

0 10 20 30

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0.125 0.25 0.375 0.5 0.625 0.75 0.875 10.05

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45AEP at period 109

Concentration(c

A

,cB

)

Normalized length

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-10

-5

0

5x 10

-3

CVs

step disturbance u1 step disturbance u2

5 10 15 20 25 30-0.05

0

0.05

0.1

MVs

Periods

60 70 80 90

Periods

0

5

10

x 10-3

CVs

step disturbance u3 step disturbance u4

120 130 140 150-0.05

0

0.05

0.1

MVs

Periods

180 190 200 210

Periods

p1 p2

p3

p4

1

3 4

2

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99.94

99.95

99.96

99.97

purities[%]

-5

0

5

x 10-3

CVs

0 5 10 15 20 25 30 35 40-0.1

-0.05

0

0.05

0.1

MVs

Periods

Extract

2

2

4

4

1

1

3

3

Raffinate

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99.94

99.95

99.96

99.97

purities[%]

-5

0

5

x 10-3

CVs

0 5 10 15 20 25 30 35 40-0.1

-0.05

0

0.05

0.1

MVs

Periods

Raffinate

Extract

2

4

1

3

1

4

3

2

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