linear control lab[2]

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)(

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. . . - -- . DC . . : . . . :http://saba.kntu.ac.ir/eecd/lcsl .

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1

:

: 1-1- . . . 1-2- ) (DC ) (. 1-3- 6 . 10k

. 6 . 10k . 470 TL . . . .) vi (t_ +

k

) vo (t

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:

1-4- :) Z 2 (s )Z1 (s

_

) vi (t

+

k

) vo (t

) Z1 (s ) Z 2 (s ) vo (t ) vi (t 0=GND

: k) vo (t

) vi (t

) Z 2 (s ) Z1 (s ) + Z 2 (s

+ +

++

+ -

e

) Z1 (s ) ( s ) + Z 2 (s 1Z

: vo ) Z 2 (s ) Z1 (s ) Z (s vi + vo 0= 2 -= ) Z1 (s ) + Z 2 (s ) Z1 (s ) + Z 2 (s vi ) Z1 (s ) Z1 (s ) Z 2 (s . . DC 1,0 01 . 2 DC . = ) G ( s . 1 ) Z1 (s ) Z 2 (s 2+s

-

.

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3

:

: ) ( ) (2-1- ) ( ) ( . . . 2-2- ) ( ) (. 2-3- : . . )(

r

2+s 1 + 0.1 s

u

1 2+s

y

. . u ) ( . : . . .www.ir-micro.com4

: r e u

01

1 2+s

y

. u . 2-4- . 1- : ) DC ( ) ( . ) DC ( . 2- : . . : : :2R

1e 2e 4e 3e

1R

3R

eo

1R

2R

= eo

2R R ) 2(e3 e1 ) + 2 (e4 e 1R 3R

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:

: 3-1- ) ( . . 3-2- ) ( ) (3-3- :2+s 2 + 0.1 s

. . : . . . : . 1,0 01 ) ( ) ( . . .www.ir-micro.com6

:

: . . . :

3-4- .4 2 )2 + ( s

. . . .r e k u

4 2 )2 + ( s

y

2 5 01 . . ) 5 01 ( 01 ) ( .e

01

2+s 2 + 0.1 s

u

01

01 . . . www.ir-micro.com7

:

) (u ) (e . . . 01 .

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8

:

: 4-1- ) ( . . 4-2- ) ( ) (4-3- :3+s 3.0 + s

. 3-3 .

4-4- .1 2 )1 + (0.1s

. . r e k u

1 2 )1 + (0.1s

y

.

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9

:

3 01 03 . . 3 ) ( e

3

3+s 3.0 + s

.u

3

3 03 . . ) ( u . . 3 . = ess .1 1+ k

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01

:

: -- )(PID5-1- PID . .1 e( )d Ti 0) de (t dtt

r

+

+

e

+

Kp

u

8 3)2 + (s

y

Td

t 1 ) de(t e(t ) + e( )d + Td u (t ) = K p 0 Ti dt

5-2- PID PID - 5-3- . . . 5-4- - . : 2 = K p = 2, Ti . . . Ti .www.ir-micro.com11

:

5-5- - . : 5.0 = K p = 4, Td . Td . 01 . 5-6- - - - . ,2 = K p = 4, Ti . : 5.0 = Td

- - 5-7- - - ) ) ( G (s . . . . ) ( KU ) ( TU . ., K p = 0 .6 K U , Ti = 0.5TU Td = 0.125TU

5-6 .

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21

- - ) (

y r

e

u

= Kp

2R , 1R

1 ) U (s Td s + 1 = K p + PID : Ti s Td ) E (s 1 + s R = D , Ti = RiCi , TD = RDCD : 3R

3 R . :,R2 = 100k + 100k,R2 = 100k + 100k ,R2 = 100k + 100k ,2 / R1 = 100k ,2 / R1 = 100k ,Ri = 1M

,R1 = 100k,R D = 1M , C i = 1F + 1F

,Ri = 1M,2 / C D = 1F

Ci = 1F + 1FR3 = 100k R3 = 100k

:PI :PD :PID

,RD = 1M

,2 / C D = 1F

: 100k. 31

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:

: 6-1- . )( . . . 6-2- )( . . : 1- - 2- 3- . 6-3- ) 1(IGBT . :+Vcc

PWM GND

)1-) ( 2-) ( 3-) (( )5-) ( 6-) (( . :1

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Insulated Gate Bipolar Transistor

41

:

1- +Vcc . . 2- . 3- GND . 4- . 5- )( PWM .6-4- 2PWM

)( PWM 3 ) 1-) ( 2-) ( 3-)(( 4 ) 4 5 6 7 ) (( . 1- . 2- GND . 3- . 4 5 PWM . 6 7- NOT 4 5 . PWM PWM Duty Cycle . Duty Cycle 05% +10V Duty Cycle 001% -10V Duty Cycle . Duty Cycle PWM

. . 6-5- )( : 2

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Pulse Width Modulation

51

:

. . 1,0 . 58 . 3 )1-)( 2-)( 3-)(( . 2 GND . )( :

PWM

: PWM

: )(

6-6- . ke TD s 1 + s

.

. k TD . )( . .www.ir-micro.com61

:

6-7- . .

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71

:

: DC7-1- : ) (DC . ) (1v/500rpm . . DC . :

M

:+Vcc

M

GND

B

A

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:

A B PWM. Vsupply PWM . . 7-2- . . .k : 1 + s

7-3- . . 7-4- .

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