otomatik kontrol sistemleri - sakarya Üniversitesi 2013 final soruları
TRANSCRIPT
![Page 1: Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları](https://reader037.vdocuments.pub/reader037/viewer/2022100404/577cb9581a28aba7118d70a9/html5/thumbnails/1.jpg)
8/9/2019 Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları
http://slidepdf.com/reader/full/otomatik-kontrol-sistemleri-sakarya-ueniversitesi-2013-final-sorulari 1/5
![Page 2: Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları](https://reader037.vdocuments.pub/reader037/viewer/2022100404/577cb9581a28aba7118d70a9/html5/thumbnails/2.jpg)
8/9/2019 Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları
http://slidepdf.com/reader/full/otomatik-kontrol-sistemleri-sakarya-ueniversitesi-2013-final-sorulari 2/5
?
P.?)
e)5 5
( ) ( )5
[LI [ L I
z zM z I z H H H
z z
+ ∟: : + +
∟
? ? ?( ) ( ) ( ? 5)
( )( 5)
[ L IH z z H z z H z z I z
z z
∟ + + + ∟ +:
∟
I L [ H H H e ++: va I[ L H H H o ?∟∟: cfjeh özara?
?( ) Ie z o z H
I z z z
⋁ + ⋁ +:
∟
? ?
? ?
( ) ( )( )
( ) ( )
Ie z o z H Q z z W z I z
A z z z z W z
∟
∟
⋁ + ⋁ +: : ⋁
∟
5 5( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( 5) A z W z z W z W z A z z W z x h a h x h ∟ ∟
: ∟ ⇟ : + ⇟ : + ∟
5 ?( ) ( ) ( ) ( ) ( ) ( ) ( 5) ( ?) I IQ z e W z o z W z H z W z u h e x h o x h H x h
∟ ∟: ⋁ + ⋁ + ⋁ ⇟ : ⋁ + ⋁ ∟ + ⋁ ∟
o)
`)
5;) ; , ; E O: : // E:x(h-5) O:x(h-?)
?;) raei a
0;) x a E: +
9;) . . .u e x o E Hi O: + +
1;) cut u
2;) O E:
=;) E x:
7;) mc tc ?;
I
H
e
o
+
+
+
++
( ) A z
( )Q z
5∟
z 5∟
z
)(5
z W z∟
)(? z W z
∟ )( z W
![Page 3: Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları](https://reader037.vdocuments.pub/reader037/viewer/2022100404/577cb9581a28aba7118d70a9/html5/thumbnails/3.jpg)
8/9/2019 Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları
http://slidepdf.com/reader/full/otomatik-kontrol-sistemleri-sakarya-ueniversitesi-2013-final-sorulari 3/5
0
PC_Q 5>
e)
u(t) va d(t) eresĵdie slstajl tedĵjfeyed iadhfajfarl t-icjadldia va s-icjaldia yezĵdĵz.
o) I(z) eyrĵh-zejed seyĵsef hcdtrcfòr tredsbar, bcdhslycdu va( )wr
R zrabareds gĵz mlrlœl cfjeh özara, gĵz hcdtrcföda elt hepefĵ-íavrlj
hcdtrcf ofch ilyemrejĵdĵ ílzldlz. (Gar olr ofcēe elt tredsbar bcdhslycdferĵ yezĵfjefĵiĵr.) (Y:;.5 sd)
`) Oesejeh mlrlœ líld sörahfl gef getesĵdĵd sĵbĵr cfjesĵ lstadjahtailr. I(z) hcdtrcf hurefĵdĵ oaflrfayldlz. Ou hurefe mòra sörahfl gef
getesĵdĵd sĵbĵr cfiuēudu mòstarldlz.
ÍÒ^ÖJ>e)
( ) ( )( ) ( ) ( ) ( ) e o
e e o e
a t a t a t _l t a t l t
_
∟: + ↟ :
( ) (s)( ) ( ) (s) ( ) e o
e e o e
A s A A s _L s A L s
_
∟: + ⇟ :
( ) ( ) ( ) ( )a l e a e
Y t H l t Y t l t : ↟ : afahtrlhl jcjadt ( ) ( )a e
Y s L s:
( )( )
j
iw t Y t N
it : jahedlh jcjadt
( )( ) ( ) ( ) j
j
Y sY s Ns s s
sN : ™ ↟ ™ :
( ) ( )o oa t H w t : ( ) ( )o o A s s H : ™
( ) ( )a jY t Y t : ( ) ( )
a jY s Y s:
( ) ( )w t R t H w t : ( ) ( )w t R s H s: ™
o)
( )wr
R zI(z) H
5
_
H o
Ae
Ao
H l
e L 5
sN
( )s™
H t
Ya:Y
j( )
wR su
t
I@ Jctcr Eyr ĵh-zejed
Peyĵsef
Hcdtrcfòr
Y
Y
( )w
R z
5 sY a
s
∟∟
I@ Jctcre elt tredsbar bcdhslycd8
( )( )
( ) 55
l
w l t
t
l o l o
H
R s H H H _NsM s H H H H u s _Ns H H
_Ns
: : :+ +
+
_:1, N:;.? hmj?, , ,
\arlda hcyufiuēudie8
5( )5
M ss
:+
cfereh afia ailflr. Y:;.5sd cfereh varlfjlœtlr. Oude mòra eyrĵh-zejed hcdtrcf ofch ilyemrejĵ eœeēĵiehl mlol seiafaœtlrlfaolflr8
( )wr
R z ( )wR s
( )wR z
5 sY a
s
∟∟ 5
5s +
Plstaja elt ( )M z eyrĵh-zejed tredsbar bcdhslycdu eœeēĵiehl mlol afia ailflr8
5 5 5 5
5 5
sY a zM( z ) ̂ ^
s s z s( s )
∟ ∟ ∟ : :
+ +
_ctcr ilrad`l _:1 cgj, rctcr etefatl N:;.? hmj?, gĵz
òfíjah líld huffedĵfed tehcjatra hezed`ĵ , zĵt
ajh hetseyĵsĵ afahtrlhl jcjadt hetseyĵsĵ
va möí huvvatfadilrl`l hetseyĵsĵ cfereh
varlfjahtailr. Rarlfjajlœ cfed ilēar töj perejatrafar
sĵbĵriĵr.
![Page 4: Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları](https://reader037.vdocuments.pub/reader037/viewer/2022100404/577cb9581a28aba7118d70a9/html5/thumbnails/4.jpg)
8/9/2019 Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları
http://slidepdf.com/reader/full/otomatik-kontrol-sistemleri-sakarya-ueniversitesi-2013-final-sorulari 4/5
9
5 zM( z ) ^ s
z
∟:
5
s;
55 sY
s
z( s )
( s ) z a :
+ ++ ∟
5
5s ( s )+5
sY s
z
z a:∟
∟
; 5Y .::::
5 zM( z )
∟:
z
z
5 z ∟
z∟
; 5
5.
( z )
z a∟
∟
∟
( ) ;
z 5 z ;.<;97 z 5 ;.;<1?M(z) 5
z ;.<;97 z ;.<;97 z ;.<;97 (z 5)
∟ ∟ ∟ +: ∟ : :
∟ ∟ ∟ ∟ Eíĵh íavrlj Yredsbar bcdhslycdu
`) Plstajld tlpl sĵbĵr cfiuēu líld (z:5“ia hutou cfjeiĵēĵ líld) sörahfl gef getesĵdĵd sĵbĵr cfeolfjasl líld slstajld tlpldl ertĵre`eh olr
hcdtrcf`ö ahfajah marahjahtailr.
l p
zI(z) H H
z 5: +
∟œahfldia saílfilēldia8
5flj ( ) ( )
5ss p
z p
_a H M z I z
H ↟
: ⇟ :+
( ) ( )5
;.;<1? ;.;<1?flj
;.<;97 ( 5) ;.<;97 p l p
z
zH H H
z z z↟
: + : ∔∟ ∟ ∟
;5
ss _a : :+ ∔
cfiuēu mòröför.
PC_Q ?>?
;.9 5.97( )
( 5)( ;.1)
z zM z H
z z
∟ +:
∟ ∟ eíĵh-íavrlj eyrĵh zejed tredsbar bcdhslycdu varlfjahtailr.
e) z-hcjpfahs iözfajldia hutup-sĵbĵr ieēĵfĵjĵdĵ ílzldlz. \ar aērlsldld hcpje dchtesĵdĵ va ljenldar ahsadl hastlēl dchteferĵ gasepfeyĵdĵz.
o) ;6H6 erefĵēĵ líld Hòh-yar aērlsldl ílzldlz.
`) Hcpje dchtesĵdiehl hezed`ĵ () gasepfeyĵdĵz.
ÍÒ^ÖJ>
e) Hcpje dchteferĵ8 ? ;.9 5.97
;( 5)( ;.1)
i z zH
iz z z
∟ +:
∟ ∟
( )
? ?
?
(? ;.9)( 5.1 ;.1) ( ;.9 5.97)(? 5.1) ;
( 5)( ;.1)
z z z z z zH
z z
∟ ∟ + ∟ ∟ + ∟⇟ :
∟ ∟
? 5.=7? 5.7007 ; z z+ ∟ :
Hcpje dchteferĵ8 -?.15? va ;.=0 cfereh oufudur. Yah olr dchteie hcpje maríahfaœtlēl líld hcpje dchtesĵ ;.=0 cfereh efĵde`ehtĵr.
Olrlj ielrayl hasja dchteferĵ herehtarlstlh iadhfaj hòhfarldld hrltlh hezedí iaēarl líld gasepfedjesĵ lfa afia ailfaolflr.
herehtarlstlh iadhfaj,
?
( ) ( ) ( );.9 5.97
5 5 ;( 5)( ;.1)
z z z z z
B M G H z z
∟ +: + : + :
∟ ∟
?( ) (5 ) (5.1 ;.9 ) (;.1 5.97 ) ; zB z H z H H : + ∟ + + + :
Nuryy teofcsu8; 5 ?
5.setĵr
;.1+5.97 -(5.1+;.9 ) 5+H
z z z
H H
;de e4 , 5 ;.1 5.97 5.;9H H H + 4 + ⇟ 6 cfereh gasepfedĵr.
Plstajld hererfĵ cfeolfjasl líld H“ dĵd ; 5.;9H 6 6 erefĵēĵdie cfjefĵiĵr.
Nuryy hrltarldiad hrltlh hezedí H:5.;9,
H:5.;9 líld herehtarlstlh iadhfaj hòhfarl8
?
( ) (5 5.;9) (5.1 ;.9*5.;9) (;.1 5.97*5.;9) ; zB z z: + ∟ + + + :
?
?.;9 5.<52 ?.;0<? ; z z∟ + :
![Page 5: Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları](https://reader037.vdocuments.pub/reader037/viewer/2022100404/577cb9581a28aba7118d70a9/html5/thumbnails/5.jpg)
8/9/2019 Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Final Soruları
http://slidepdf.com/reader/full/otomatik-kontrol-sistemleri-sakarya-ueniversitesi-2013-final-sorulari 5/5
1
5,?;.92= ;.77?= z n: µ cfereh afia ailflr.
o)
;H :
H : ∔
H : ∔
;H :
;.? 5.? n+
;.? 5.? n∟
zπ
`) Hcpje dchtesĵdiehl hezed`ĵ (Hx) gaseoĵ8
L. \CF>?
( ) (5 ) (5.1 ;.9 ) (;.1 5.97 ) ; x x x zB z H z H H : + ∟ + + + : iadhfajia z yarlda ;.=0 hcyup
xH “ld íahlfjasl marahjahtailr.
?;.=0 (5 ) ;.=0(5.1 ;.9 ) (;.1 5.97 ) ; x x xH H H + ∟ + + + :
5.=?;< ;.;1=5 ; ;.;00? x x
H H ∟ : ⇟ : cfereh afia ailflr.
LL. \CF>
;.? 5.? n+
;.? 5.? n∟
zπ
? ?5.? ;.10 5.0557e o: : + :
;.=0 ;.1 ;.?0` : ∟ : 5 ;.=0 ;.?2i : ∟ :
Hòh-yar aērlsldiahl olr dchteiehl hezed`ĵd
oufudjesĵ8
?
;.?0*;.?2;.;09
5.0557
l
x
l
^ H
[
Ϋ: : :
Ϋcfereh afia ailflr.