Multiple input-output control

  • Thread starter gfd43tg
  • Start date
  • #1
gfd43tg
Gold Member
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Homework Statement


upload_2015-12-2_12-42-24.png

upload_2015-12-2_12-42-43.png


Homework Equations




The Attempt at a Solution


(a) I find the steady state values (s=0)
Code:
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:
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.
 

Answers and Replies

  • #2
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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?
 
  • #3
gfd43tg
Gold Member
953
49
I've solved the problem!
 

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