homework 3 answer automatic control system
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Automatic control SystemTRANSCRIPT
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Homework 3 Answer
1
Homework 3 Answer
Problem
1. Find the transfer function C(s)/R(s), C(s)/N(s) of the system shown in
Fig.problem.
2. Try to find ( ) ?nG s in order to eliminate the effect of disturbance on the
system ( ( ) / ( ) 0C s N s ).
Fig.problem
Answer
1. set N=0 , find C/R
1 2 3
1 2 3
2
1 2 3
( )( 1)
( )( ) / ( )
1 ( )
K K KG s
s Ts
K K KG sC s R s
G s Ts s K K K
set R=0 , find C/N
moving the first comparator backwards.
3
3 1 2 321 2
3 2 1 2 31
1( ) / ( ) ( )
11
n nn n
K
K K s K K K GK TsC s N s K G KK Ks Ts s K K K
KTs s
2. to eliminate the effect of disturbance on the system
3 1 2 3
2
1 2 3
1 2
( ) / ( ) 0
( )
n n
nn
K K s K K K GC s N s
Ts s K K K
K sG s
K K