Page 198 - MATLAB an introduction with applications

Control Systems ——— 183

>> C= [1 0];
>> D= [0];
>> impulse (A, B, C, D)

Impulse Response
1.5

1

0.5
Amplitude

0

– 0.5

–1
0 2 4 6 8 10 12
Time (sec)

Fig. E3.29(c) Unit-impulse response

Example E3.30: Obtain the unit-step response and unit-ramp response of the following system using
MATLAB.
x  1  −  5 − 30 −  x 1   1
5 
 x  =  1 0 0     
+
x
0 u
 2       
2
0

x
 
 x  3    0 1 0     
3
x 
1

]
y = [020 5 x + [0]u
2

x 

3
Solution:
>> % MATLAB Program
>> A=[–5 –30 –5; 1 0 0; 0 1 0];
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