Optimizing Control with Relative Gain Array in Simulink

In summary, the individual is seeking guidance on how to control a system with a relative gain array of 0.8537 and 0.1463 and how to pair the inputs and outputs. They also ask for clarification on when to tune the controller for the second loop and how to approach the overall process.
  • #1
gfd43tg
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Homework Statement


Hello, I want to control a system that looks like this
upload_2015-12-16_14-12-16.png


Homework Equations

The Attempt at a Solution


So my relative gain array is

$$ \Lambda = \begin{bmatrix} 0.8537 & 0.1463 \\ 0.1463 & 0.8537 \end{bmatrix} $$
So I know I should pair ##u_{1}## with ##y_1## and ##u_2## with ##y_2##

Here is my simulink block
upload_2015-12-16_14-14-4.png


I know when ##0 < \lambda_{ij} < 1##, then I should tune the controller with the second loop closed. However, does that mean I should delete the second controller and work with only one controller initially? What is the "Second Loop"? I don't know which pathway that corresponds to!
 
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  • #2
I was able to solve it by just creating a separate controller and tuning each ##g_{c1}## for ##g_{11}## and ##g_{c2}## for ##g_{22}##, then putting those controllers into my simulink model in the OP. However, I'm wondering in general what steps should be done?
 

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