Homework Read pages: 533 - 538 Answer questions from packet on pages: 177 - 179.
Homework 3 Answer Automatic control System
1
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 () ? n G s in order to eliminate the effect of disturbance on the system ( ( )/ () 0 Cs Ns ). Fig.problem Answer: 1. set N=0 , find C/R 1 2 3 1 2 3 2 1 2 3 () ( 1) () ( )/ () 1 () KKK Gs s Ts KKK Gs Cs Rs Gs Ts s KKK set R=0 , find C/N moving the first comparator backwards. 3 3 1 2 3 2 1 2 3 2 1 2 3 1 1 ( )/ () ( ) 1 1 n n n n K K Ks KKKG K Ts Cs Ns K GK K K s Ts s KKK K Ts s 2. to eliminate the effect of disturbance on the system 3 1 2 3 2 1 2 3 1 2 ( )/ () 0 () n n n n K Ks KKKG Cs Ns Ts s KKK Ks G s KK
-
Upload
abaziz-mousa-outlawzz -
Category
Documents
-
view
214 -
download
0
description
Automatic control System
Transcript of Homework 3 Answer Automatic control System
-
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