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Multiple input-output control

  1. Dec 2, 2015 #1

    Maylis

    User Avatar
    Gold Member

    1. The problem statement, all variables and given/known data
    upload_2015-12-2_12-42-24.png
    upload_2015-12-2_12-42-43.png

    2. Relevant equations


    3. The attempt at a solution
    (a) I find the steady state values (s=0)
    Code (Text):

    syms s
    k11 = -6;
    k12 = 3;
    k21 = 12;
    k22 = 35;

    G = [k11 k12; k21 k22];
    Ghat = [k22/(k11*k22-k12*k21) -k12/(k11*k22-k12*k21); -k21/(k11*k22-k12*k21) k11/(k11*k22-k12*k21)];

    Lam = G*Ghat
    Lam

    Lam =

      1  0
      0  1
     
    So I know that input 1 goes with output 1, and input 2 goes with output 2.

    (b) I am not sure how I should do this, but I look at steady state values
    Code (Text):

    G =

      -6  3
      12  35
    But I don't really know how steady state infusion rates can be zero, yet you can increase Cardiac output by infusion? I don't understand how to solve this question.
     
  2. jcsd
  3. Dec 7, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
  4. Dec 7, 2015 #3

    Maylis

    User Avatar
    Gold Member

    I've solved the problem!
     
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