Page 89 - basic control system
P. 89
CLOSED-LOOP POLES OF
FIRST-ORDER SYSTEM
EXAMPLE 2
For a first-order system, find out the output of the system
when the input applied to the system is unit ramp input.
Sketch the r(t) and c(t) and show the steady state error.
Solution :
▪ Let the first-order system has transfer function
1
=
( ) +
Input r(t) = unit ramp input = t
1
=
2
1
= = + +
2
( + ) 2 +
2
+ + + + = 1
= 1
+ = 0
+ = 0
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