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2 input-2 output control

  1. Dec 16, 2015 #1

    Maylis

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    Gold Member

    1. The problem statement, all variables and given/known data
    Hello, I want to control a system that looks like this
    upload_2015-12-16_14-12-16.png

    2. Relevant equations


    3. 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!!
     
  2. jcsd
  3. Dec 16, 2015 #2

    Maylis

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    Gold Member

    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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