## Difference between two plots of this final output figure??

Asked by ABU BAKAR TALHA

### ABU BAKAR TALHA (view profile)

on 18 Sep 2019
Latest activity Commented on by Star Strider

### Star Strider (view profile)

on 18 Sep 2019
Accepted Answer by Star Strider

### Star Strider (view profile)

I am trying to learn MATLAB and i came across a command lsim and i opened its help and from there i get code and tried to simulate that code in my MATLAB . I get two plots in final output figure but i am confused why it gives two plots in final output figure despite the fact that each subplot contains two waveforms??what is the difference between these two subplots as shown in attachment?? What is above plot showing and what is its meaning?? and what bottom plot showing and its meaning??

KALYAN ACHARJYA

### KALYAN ACHARJYA (view profile)

on 18 Sep 2019
Generate test input signals for lsim
and

R2015a

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### Star Strider (view profile)

Answer by Star Strider

### Star Strider (view profile)

on 18 Sep 2019
Edited by Star Strider

### Star Strider (view profile)

on 18 Sep 2019

The system being modeled Simulate Response to Square Wave is a 1-input, 2=output (SIMO) system, presenting the same input to both systems. The upper plot shows the output of the first system, and the lower plot shows the output of the second system. (They are clearly labeled.)

Star Strider

### Star Strider (view profile)

on 18 Sep 2019
Both systems are ‘H’. It is a SIMO system, since the ‘B’ matrix is a vector, so the same input is presented to both systems. A MIMO system (as depicted in Control Systems/MIMO Systems) has separate inputs for each system, controlled by the structure of the ‘B’ matrix.
To see this most easily, convert it to state space, then repeat the lsim call:
H = [tf([2 5 1],[1 2 3]);tf([1 -1],[1 1 5])];
S = ss(H)
[u,t] = gensig('square',4,10,0.1);
lsim(S,u,t)
You will see that ‘S’ is:
S =
A =
x1 x2 x3 x4
x1 -2 -1.5 0 0
x2 2 0 0 0
x3 0 0 -1 -2.5
x4 0 0 2 0
B =
u1
x1 2
x2 0
x3 1
x4 0
C =
x1 x2 x3 x4
y1 0.5 -1.25 0 0
y2 0 0 1 -0.5
D =
u1
y1 2
y2 0
Continuous-time state-space model.
The lsim output is the same as before.
ABU BAKAR TALHA

### ABU BAKAR TALHA (view profile)

on 18 Sep 2019
Are you calling/denoting/meaning numerator of H as one system and denominator H as second system??
Star Strider

### Star Strider (view profile)

on 18 Sep 2019
No. They are two separate systems, as originally constructed in ‘H’, as two separate transfer functions.