Dear Professor Kalid,
I am happy to hear that you want to use the article "Opportunities and
difficulties with 5x5 distillation control" in your undergraduate and
graduate courses of chemical engineering at the Universidade Federal da
Bahia.
The appended file "linemcmodel.mat" contains two matrices "g" and "g15"
on Matlab format.
"g" contains the linearised state space model (A,B,C,D matrices) before
model reduction, i.e. the model has 123 states.
"g15" contains the linearised state space model after model reduction to
15 states, using "ohkapp" in Robust Toolbox (se section "Controllability
analysis" in the article).
<<linemcmodel.mat>>
Both "g" and "g15" are stored on "mu-tools format", i.e.
A(1,1) A(1,2) ... A(1,nx) B(1,1) ... B(1,nu) nx
A(2,1) A(2,2) ... A(2,nx) B(2,1) ... B(2,nu) 0
: : : : : :
A(nx,1) A(nx,2) ... A(nx,nx) B(nx,1) ... B(nx,nu) 0
C(1,1) C(1,2) ... C(1,nx) D(1,1) ... D(1,nu) 0
C(2,1) C(2,2) ... C(2,nx) D(2,1) ... D(2,nu) 0
: : : : : :
C(ny,1) C(ny,2) ... C(ny,nx) D(ny,1) ... D(ny,nu) 0
0 0 ... 0 0 ... 0 -Inf
where nx = number of states
nu = number of inputs
ny = number of outputs
In both cases the inputs and outputs are:
Inputs: L_T, Q_R, Q_C, D, B, F, z_F, P_F i.e. 8
inputs
Outputs: x_D(1), x_B(1), P_D, M_D, M_B i.e. 5
outputs
Scaling of inputs and outputs, as given in Table 3 of the article, are:
% Scaling (Table 3)
inscale = diag([2.7 130 130 0.5 0.5 0.15 0.1 0.025]);
outscale = diag([1/0.01 1/0.01 1/0.05 1/30 1/10]);
gsc = mmult(outscale,g,inscale);
If you have any questions, please let me know.
Best regards,
Petter Lundstrøm
Dr. Ing. Petter Lundstrøm Tlf: +47 72 89 61 00/30
Energos asa Faks: +47 72 89 61 01
Vestre Rosten 81 Mobil: +47 926 22 232
N-7075 Tiller E-post: petter.lundstrom@energos.no
Norge
-----Opprinnelig melding-----
Fra: skoge@chembio.ntnu.no [SMTP:skoge@chembio.ntnu.no]
Sendt: Friday, December 22, 2000 8:40 AM
Til: Petter Lundstrøm
Emne: Fra Brazil
>From kalid@ufba.br Thu Dec 21 17:53:19 2000
Dear Professor Sigurd Skogestad=20
I am assistant professor of the Universidade Federal da Bahia
(Brazil) =
and would like to use the article "Opportunities and
difficulties with =
5x5 distillation control" in my undergraduate and graduate
courses of =
chemical engineering. But I need the transfer functions of this
process. =
Can you help me to find or to give me this model?=20
Thank you for your attention
Ricardo de Ara=FAjo Kalid
__________________________
kalid@ufba.br
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