Page 177 - MATLAB an introduction with applications

162 ——— MATLAB: An Introduction with Applications

Unit-ramp response
10

8
output

and 6
input

Unit-ramp 4 Unit-ramp input

2 Output

0
0 2 4 6 8 10
t Sec

Fig. E3.15 Unit-ramp response

Example E3.16: A higher-order system is defined by
2
()
Cs = 7s + 16s + 10
3
2
4
()
Rs s + 5s + 11s + 16s + 10
(a) plot the unit-step response curve of the system using MATLAB
(b) obtain the rise time, peak time, maximum overshoot and settling time using MATLAB.
Solution:
>> %Unit-step response curve
>> num=[0 0 7 16 10];
>> den=[1 5 11 16 10];
>> t=0:0.02:20;
>> [y,x,t]=step(num,den,t);
>> plot(t, y)
>> grid

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