How to represent block diagram with two inputs to state space?

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Hi all, can anyone help me with this? It should represented in state space. How i can do that with two inputs? I attached picture. Thank you all in advance.

Answers (1)

Azzi Abdelmalek
Azzi Abdelmalek on 26 Nov 2014
Edited: Azzi Abdelmalek on 26 Nov 2014
From your diagram we can see that your system is linear, The output y(t) can be written as
y(t)=y1(t)+y2(t)
y1(t) is the response of your system to the input u1 when u2=0
y2(t) is the response of your system to the input u2 when u1=0
I suppose you know how to find the ss representation for each subsystem. Then deduce the ss for your global system
  2 Comments
Azzi Abdelmalek
Azzi Abdelmalek on 27 Nov 2014
Nik commented
Really thank you for your answer . I know how to find the ss representation for each each subsystem. I will find one A,B,C for one and one A,B,C for the other. But i don't what i should do after.
vassilis91 nik
vassilis91 nik on 28 Nov 2014
Edited: vassilis91 nik on 28 Nov 2014
Should i do something like this? Example : Y1 = tf([1 -1],[1 1]); Y2 = tf([1 2],[1 4 5]); Y = [Y2; Y2]; ss(Y) ;
I suppose that i am completely wrong. The other choice is to find the ss for Y1 the ss for Y2 . But after?

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