# How can i get sum of the responses of multi input system?

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Volkan Yangin on 2 Dec 2020
Commented: Ameer Hamza on 2 Dec 2020
Hi,
For linear systems, we can implement superposition procedure to obtain result of any state space system for multiple inputs. For example, if there are 2 input (u1 and u2), firstly we can get the result of u1 when u2=0 and result u2 when u1=0. After, sum of these results will be response of state space.
MATLAB has capability to work multiple inputs, but gives multiple outputs for each input seperately. Is there any way to see only one result for multiple inputs?
You can see an example below. I should obtain sum of From:Control 1 and From:Control 2 for each temperature.
Thanks! Ameer Hamza on 2 Dec 2020
Edited: Ameer Hamza on 2 Dec 2020
You can call step() with output arguments. See this example
A = rand(2);
B = rand(2);
C = rand(2);
D = zeros(2);
sys = ss(A,B,C,D);
[y, t] = step(sys);
y_sum = sum(y, [2 3]); % sum of all outputs
plot(t, y_sum)
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Ameer Hamza on 2 Dec 2020
I am glad to be of help!