Page 196 - MATLAB an introduction with applications

Control Systems ——— 181

x  1  −  1 − 1.5   x 1   1.5
+
  =       u
 x 2  2 0   x 2  0 
x 
1
y = [10 ] 
x

2
where u is the input and y is the output.
Solution:
>> % Unit-step response
>> A=[–1 –1.5;2 0];
>> B=[1.5;0];
>> C=[1 0];
>> D=[0];
>> y,x,t]=step(A,B,C,D);
>> plot(t,y)
>> grid
>> title(‘Unit–step response’)
>> xlabel(‘t Sec’)
>> ylabel(‘Output’)

Unit-step response
0.6
0.5
0.4
0.3
Output 0.2

0.1
0
– 0.1
– 0.2
– 0.3
0 2 4 6 8 10 12
t Sec
Fig. E3.29 (a) Unit-step response

>> % Unit-ramp response
>> A=[–1 –1.5; 2 0];
>> B=[1.5; 0];

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