QUESTION NO.1
1
( )
( 3)( 11)( 18)
( ) ( )
( ) 1 ( ) ( )
( ) 1
1
( ) ( )
( 3)( 11)( 18)
Poles for open loop system:
( 3)( 11)( 18)
3, 11, 18
now we define
n=number of poles=3
m=number of zeros=0
( ) (
G s
s s s
C s K G s
G s KG s H s
As H s
G s H s
s s s
s s s
s s s
RP Pj RP zi
s
=
- + +
´
=
+
=
Þ =
- + +
- + +
Þ = = - = -
-
=
1 1
3
1
)
( )
3
3 11 18
3
-8.6667
Angle of Asymptotes:
180(2 1) 180(2 1)
3
60 (2 1)
0, 60
1, 180
2, 300
n m
j i
j
Ai
Ai
n m
RP Pj
i i
n m
i
Fori
Fori
Fori
s
s
s
f
f
f
f
f
= =
=
-
=
- -
=
=
+ +
= =
-
= +
= =
= =
= =
å å
å
o
o
o
o
