Description
The 2x2 process reported below has to be controlled
The process is controlled using a decoupler and two PIs ( R1(s) and R2(s) ), each one controlling the corresponding output signal.
The goal of the control system is to maintain the output of the processe as close as possible to the set point references,
avoiding the cross effects between the first input and the second output and vice versa.
The package contains two models in which the process has been controlled using the decoupler
(see DecoupledControl )
and not
(see NoDecoupledControl )
Process Variables and set point references without decoupler
Process Variables and set point references with decoupler
The images show how the different control schemes react to the set point changes. The decoupler based scheme performs better than the one without.
Extends from IndustrialControlSystems.Icons.ExamplesPackage (Examples package icon).
Name | Description |
---|---|
![]() | Two inputs Two outputs process Y1 = P11*u1 + P12*u2 and Y2 = P21*u1 + P22*u2 |
![]() | Model of the 2x2 decoupler |
![]() | Control scheme with decoupler |
![]() | Control scheme without decoupler |
Two inputs two outputs process
The four transfer functions are defined via their numerators and denumerators.
Name | Description |
---|---|
P11 | |
P11_num[:] | Transfer function num. |
P11_den[:] | Transfer function den. |
P12 | |
P12_num[:] | Transfer function num. |
P12_den[:] | Transfer function den. |
P21 | |
P21_num[:] | Transfer function num. |
P21_den[:] | Transfer function den. |
P22 | |
P22_num[:] | Transfer function num. |
P22_den[:] | Transfer function den. |
Name | Description |
---|---|
u1 | input |
u2 | input |
y1 | output |
y2 | output |
Decoupler for a two input two output process
(see Process ).
The aim of the decoupler (represented in the following figure) is to reduce (ideally to delete them) the effects of the first
input U1 on the second output Y2 and vice versa.
This can be done introducing the new variables (V1,V2) and placing the decoupler between them and the real process.
The decoupler is described by the following scheme (backward decoupler)
The effect of the decoupler is shown in the following picture where the decoupler with its backward action deletes the relation between V1 and Y2 (the sum of the blue and red paths).
Once the process is known (P11,P21,P21,P22), the decoupler can be specified by the definition of the two rational trasfer functions
P12(s) ------ P11(s)and
P21(s) ------ P22(s)
Name | Description |
---|---|
P_21_22 | |
P_21_22_num[:] | Transfer function num. |
P_21_22_den[:] | Transfer function den. |
P_12_11 | |
P_12_11_num[:] | Transfer function num. |
P_12_11_den[:] | Transfer function den. |
Name | Description |
---|---|
u1 | input |
u2 | input |
y1 | output |
y2 | output |
toU1 | output |
toU2 | output |
Description
The 2x2 process reported below has to be controlled
The process is controlled using a decoupler and two PIs ( R1(s) and R2(s) ), each one controlling the corresponding output signal.
The goal of the control system is to maintain the output of the processe as close as possible to the set point references,
avoiding the cross effects between the first input and the second output and vice versa.
Extends from Modelica.Icons.Example (Icon for runnable examples).
Description
The 2x2 process reported below has to be controlled
The process is controlled using two PIs ( R1(s) and R2(s) ), each one controlling the corresponding output signal.
The goal of the control system is to maintain the output of the processe as close as possible to the set point references,
avoiding the cross effects between the first input and the second output and vice versa.
Extends from Modelica.Icons.Example (Icon for runnable examples).
Automatically generated Mon May 21 13:34:17 2012.