Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Bütünleme Soruları

892019 Otomatik Kontrol Sistemleri - Sakarya Uumlniversitesi 2013 Buumltuumlnleme Soruları

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( )q J E t =

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( ) ( )o

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( ) ( 0)( ) (01 0) 1F s s s D s= + + + lowast =

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7(00 ) ( 0) 1s D s D + + + lowast =

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1

( )0

181lt18 sS sS

s

z z z c z

O z z cs sz sh z h

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lowast = +

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7

1

( )0 1 ( )

181lt18 ( )

sS sS sS

sS sS

s

z z z z z h sSh Sh

O z z sz sh z h

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7( )

0 ( 00) 1115 111318

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z z z z zO

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7

0 0

0

( )0( 0)

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z

z

Sz

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0

0 0 1115 1113178 3 blm 875

10 ( 1lt18)v

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zJ J J

J z

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983131983076983091983084

r(t)9olrlŞ

k(t)9iumlİjİŞ

0lt

085

01

7

77

k(t)r(t)

983115983144983158983136983153 983144Ğ983159983148983163983148983140983139983144983140 983163983148983163983155983144983149983148983140 983136983279İ983146 983279983144983158983159983148983149 983146983136983161983136983140983147İ( ) 77 0

16( ) 7 1

k t J

r t

∆ lowast= = =

∆ lowast

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8 0sO

s=

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0 0( )

160 16 16 08(0 ) (0 ) 08 0 8 ( 17)( )

8

sS

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sS sS

s s

z z z z

O s s z s s z h s s z h

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16 0 1008 8

8 0 157 z

z z zO

z z z h zlowast

lowast = lowast =

lowast lowast lowast

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100

100157100 10

0157

z

z

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1

( )0

181lt18 sS sS

s

z z z c z

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lowast = +


7

1

( )0 1 ( )

181lt18 ( )

sS sS sS

sS sS

s

z z z z z h sSh Sh

O z z sz sh z h

=



7( )

0 ( 00) 1115 111318

1lt18 ( 0) ( 0)( 1lt18) z

z z z z zO



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+= = = =

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983131983076983091983084

r(t)9olrlŞ

k(t)9iumlİjİŞ

0lt

085

01

7

77

k(t)r(t)

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16( ) 7 1

k t J

r t

∆ lowast= = =

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8 0sO

s=

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0 0( )

160 16 16 08(0 ) (0 ) 08 0 8 ( 17)( )

8

sS

zh



+ ++

1 17

( )16 0 0 0

( 17)8 ( 17) ( 17)

sS sS

s s

z z z z


= =lowast

lowast= + +

+ lowast + lowast

17( )

16 0 1008 8

8 0 157 z

z z zO

z z z h zlowast

lowast = lowast =


983143) 983146983136983153983136983138İ 983279983144983158983159983148983149 983148983279983148983140 9831149831010

( )

( )

100

100157100 10

0157

z

z

K z W z

z

lowast= =lowast

+lowast

( ) ( ) ( )100 10010 ( 0)( 10)

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1

( )0

181lt18 sS sS

s

z z z c z

O z z cs sz sh z h

=

lowast = +


7

1

( )0 1 ( )

181lt18 ( )

sS sS sS

sS sS

s

z z z z z h sSh Sh

O z z sz sh z h

=



7( )

0 ( 00) 1115 111318

1lt18 ( 0) ( 0)( 1lt18) z

z z z z zO



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0

( )0( 0)

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z

z

Sz

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JO z E z z JO z E z

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0

0 0 1115 1113178 3 blm 875

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J z

+= = = =

lowast

983131983076983091983084

r(t)9olrlŞ

k(t)9iumlİjİŞ

0lt

085

01

7

77

k(t)r(t)

983115983144983158983136983153 983144Ğ983159983148983163983148983140983139983144983140 983163983148983163983155983144983149983148983140 983136983279İ983146 983279983144983158983159983148983149 983146983136983161983136983140983147İ( ) 77 0

16( ) 7 1

k t J

r t

∆ lowast= = =

∆ lowast


983150983138983149983136983146 983282983161983144983159983144 983163983148983163983155983144983149983148983140 983136983279İ983146 983279983144983158983159983148983149 983155983159983136983140983163983142983144983159 983142983150983140983146983163983148983164983150983140983160 ( )16

8 0sO

s=

+ 983150983138983136983159983136983146 983144983138983139983144 983144983139983148983138983148983159

0 0( )

160 16 16 08(0 ) (0 ) 08 0 8 ( 17)( )

8

sS

zh



+ ++

1 17

( )16 0 0 0

( 17)8 ( 17) ( 17)

sS sS

s s

z z z z


= =lowast

lowast= + +

+ lowast + lowast

17( )

16 0 1008 8

8 0 157 z

z z zO

z z z h zlowast

lowast = lowast =


983143) 983146983136983153983136983138İ 983279983144983158983159983148983149 983148983279983148983140 9831149831010

( )

( )

100

100157100 10

0157

z

z

K z W z

z

lowast= =lowast

+lowast

( ) ( ) ( )100 10010 ( 0)( 10)

z z z zK W K z z z













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Otomatik Kontrol Sistemleri - Sakarya Üniversitesi 2013 Bütünleme Soruları