Dynamic Control of a SI Engine With Variable Intake Valve Timing

8/8/2019 Dynamic Control of a SI Engine With Variable Intake Valve Timing

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D F W X D W R U E H J L Q V W R O R V H D X W K R U L W \ R Y H U W K H D L U o R Z D V P D Q L I R O G S U H V V X U H G H F U H D V H V W R . 3 D > @ > @

102

101

100

101

102103

102

101

100

101

rad/sec

SingularvaluesofSensitivityFunction

,(S)

= 24o, p

m= 60 kPa, MAF = 9.6 g/s

= 28o, p

m= 75 kPa, MAF = 12.6 g/s

= 40o, p

m= 94 kPa, MAF = 16.2 g/s

) L J 6 L Q J X O D U Y D O X H V R I L Q S X W V H Q V L W L Y L W \ I X Q F W L R Q V D W H Q J L Q H V S H H G 5 3 0 0 $ ) U H S U H V H Q W V P D V V D L U o R Z U D W H L Q W R W K H F \ O L Q G H U

% 6 L P X O D W L R Q V

7 K H S H U I R U P D Q F H R I W K H F R Q W U R O O H U G H V L J Q H G D E R Y H Z D V n U V W H Y D O X D W H G W K U R X J K W K H P H D Q Y D O X H P R G H O 7 K H W L P H

F R Q V W D Q W ~

U

R I W K H W R U T X H U H I H U H Q F H P R G H O Z D V V H W W R 7 K H V W R L F K L R P H W U L F D L U I X H O U D W L R $ )

V

L V V H W W R D Q G

W K H H Q J L Q H V S H H G Z D V K H O G F R Q V W D Q W D W 5 3 0 7 K H W R U T X H D Q G $ ) U H V S R Q V H V Z H U H F R P S D U H G W R W K H F R Q Y H Q W L R Q D O

H Q J L Q H Z L W K I X H O P D Q D J H G E \ D V W D Q G D U G I H H G I R U Z D U G S O X V 3 , F R Q W U R O O H U 7 K H I H H G I R U Z D U G V L J Q D O Z D V J H Q H U D W H G L Q W K H

X V X D O Z D \ D Q G W K H 3 , J D L Q Z D V F K R V H Q V R W K D W $ ) H [ F X U V L R Q V D U H P L Q L P L ] H G 7 K H U H V X O W V G L V S O D \ H G L Q ) L J X U H


13/16

. $ 1 * $ 1 ' * 5 , = = / ( & 2 1 7 5 2 / 2 ) $ 6 , ( 1 * , 1 ( : , 7 + 9 $ 5 , $ % / ( , 1 7 $ . ( 9 $ / 9 ( 3 5 ( 3 5 , 1 7 6 8 % 0 , 7 7 ( ' ) ( %

0 2 4 6 8 10 12 1410

20

30

40

(degrees)

0 2 4 6 8 10 12 14

14

16

A/F

0 2 4 6 8 10 12 140

50

100

150

Tb

(Nm)

0 2 4 6 8 10 12 140

0.5

1

0 2 4 6 8 10 12 140

50

100

pm(

kPa)

time (sec)

Stoichiometry

) L J 6 L P X O D W L R Q U H V X O W V Z L W K P H D Q Y D O X H P R G H O D W F R Q V W D Q W H Q J L Q H V S H H G 5 3 0 6 R O L G O L Q H U H S U H V H Q W V H Q J L Q H Z L W K M R L Q W D L U D Q G I X H O

F R Q W U R O D Q G W K H G D V K H G O L Q H W K H F R Q Y H Q W L R Q D O H Q J L Q H Z L W K D I H H G I R U Z D U G S O X V 3 , F R Q W U R O O H U

V K R Z W K D W W K H H Q J L Q H Z L W K M R L Q W D L U D Q G I X H O F R Q W U R O D F K L H Y H V V L P L O D U W R U T X H U H V S R Q V H W R W K H F R Q Y H Q W L R Q D O H Q J L Q H $ W

V H F R Q G V D

F

V W H S F K D Q J H Z D V J L Y H Q D W D S U L P D U \ W K U R W W O H D Q J O H

F

D Q G L W L V V H H Q W K D W W K H H m H F W L Y H Y D O Y H D U H D

V O R Z O \ L Q F U H D V H V W R V P R R W K W K H D L U o R Z F K D Q J H F D X V H G E \ W K H G U L Y H U U H V X O W L Q J L Q V X S H U L R U $ ) S H U I R U P D Q F H R Y H U W K H

F R Q Y H Q W L R Q D O H Q J L Q H $ W D Q G V H F R Q G V

F

D Q G b

F

V W H S F K D Q J H V Z H U H J L Y H Q : L W K W K H W K U R W W O H V W H S L Q F U H D V H

W K H H m H F W L Y H Y D O Y H D U H D I D F W R U U H D F K H V L W V P D [ L P X P F R Q V W U D L Q H G Y D O X H , Q H D F K F D V H I R U W K H H Q J L Q H Z L W K M R L Q W D L U D Q G I X H O

F R Q W U R O W K H $ ) U H V S R Q V H K D V D I D V W H U F R Q Y H U J H Q F H U D W H W R V W R L F K L R P H W U \ W K D Q W K D W R I W K H F R Q Y H Q W L R Q D O H Q J L Q H + R Z H Y H U

W K H U H L V D V O L J K W O \ O D U J H U X Q G H U V K R R W D W W L S R X W ) L J X U H D O V R G L V S O D \ V W K H L Q W D N H P D Q L I R O G S U H V V X U H 7 K H S R V V L E L O L W \ R I

F R Q W U R O O L Q J W K H F \ O L Q G H U D L U F K D U J H S U R F H V V K D V U H V X O W H G L Q W K H D E L O L W \ W R P D L Q W D L Q D K L J K H U P D Q L I R O G S U H V V X U H W K D Q W K D W R I

W K H F R Q Y H Q W L R Q D O H Q J L Q H \ L H O G L Q J D S R W H Q W L D O U H G X F W L R Q R I S X P S L Q J O R V V H V D W O R Z S U L P D U \ W K U R W W O H D Q J O H V $ V G L V F X V V H G

S U H Y L R X V O \ W K L V S R W H Q W L D O Z R X O G E H U H D O L ] H G L I W K H D F W X D W L R Q Z H U H L P S O H P H Q W H G Z L W K Y D U L D E O H Y D O Y H W L P L Q J R U K H L J K W

V H F R Q G D U \ Y D O Y H V R U Y L D Y D U L D E O H F D P W L P L Q J E X W Z R X O G Q R W E H U H D O L ] H G L Q W K H F D V H R I V H F R Q G D U \ W K U R W W O H V 7 K H V W H D G \

V W D W H W R U T X H Y D O X H L V D S S U R [ L P D W H O \ H T X D O W R W K D W R I W K H F R Q Y H Q W L R Q D O H Q J L Q H H Y H Q D W K L J K H U L Q W D N H P D Q L I R O G S U H V V X U H

E H F D X V H P D V V D L U o R Z L Q W R W K H F \ O L Q G H U V V D W X U D W H V D W L Q W D N H P D Q L I R O G S U H V V X U H V O R Z H U W K D Q D U R X Q G . 3 D

, Q W K H V H F R Q G V L P X O D W L R Q V K R Z Q L Q ) L J X U H W K H S H U I R U P D Q F H R I W K H F R Q W U R O O H U Z D V H Y D O X D W H G R Q W K H P R U H G H W D L O H G

L Q W D N H V W U R N H P R G H O L Q 6 H F W L R Q , , , Q D G G L W L R Q W K H I X H O S X G G O H G \ Q D P L F V G H Y H O R S H G L Q > @ L V L Q F O X G H G L Q W K H I X H O S D W K

D I W H U W K H L Q M H F W L R Q G H O D \ D Q G W K H H Q J L Q H V S H H G Z D V D O O R Z H G W R Y D U \ W K U R X J K D U R W D W L R Q D O G \ Q D P L F V P R G H O , Q V W H D G R I D

0 $ 3 V H Q V R U D 0 $ ) V H Q V R U L V X V H G W R P H D V X U H W K H P D V V D L U o R Z U D W H L Q W R W K U R W W O H E R G \ D Q G W K H D O J R U L W K P L Q > @ L V

H P S O R \ H G W R H V W L P D W H W K H L Q W D N H P D Q L I R O G S U H V V X U H V H H $ S S H Q G L [ $ I R U G H W D L O V , Q W K L V V L P X O D W L R Q W K H S K \ V L F D O Y D U L D E O H

, 9 ' L V S O R W W H G L Q V W H D G R I W K H Y L U W X D O F R Q W U R O Y D U L D E O H n W K H H m H F W L Y H Y D O Y H D U H D I D F W R U n H [ F H H G V W K H F R Q V W U D L Q W I U R P

W R V H F R Q G V , W L V V H H Q W K D W W K H F R Q W U R O O H U D F K L H Y H V D W R U T X H U H V S R Q V H V L P L O D U W R W K D W R I W K H F R Q Y H Q W L R Q D O H Q J L Q H

E X W V X S H U L R U $ ) S H U I R U P D Q F H D Q G K L J K H U L Q W D N H P D Q L I R O G S U H V V X U H

9 , & R Q F O X V L R Q V

, Q W K L V S D S H U D G L V F U H W H W L P H Q R Q O L Q H D U F R Q W U R O O H U Z D V G H Y H O R S H G I R U M R L Q W D L U D Q G I X H O P D Q D J H P H Q W L Q D 6 , H Q J L Q H

Z L W K Y D U L D E O H Y D O Y H W L P L Q J $ P H D Q Y D O X H P R G H O Z D V G H U L Y H G I U R P D G H W D L O H G L Q W D N H V W U R N H P R G H O D Q G X V H G I R U W K H

F R Q W U R O G H V L J Q 7 K H F R Q W U R O O D Z Z D V E D V H G R Q D F R Q F H S W X D O O \ V L P S O H F R Q W U R O / \ D S X Q R Y I X Q F W L R Q D Q G L Q F O X G H V D U H F R Y H U \

V F K H P H I R U L Q W H J U D W R U D Q W L Z L Q G X S 7 K H S H U I R U P D Q F H R I W K H F O R V H G O R R S V \ V W H P Z D V H Y D O X D W H G Y L D V L P X O D W L R Q R Q W K H

G H W D L O H G L Q W D N H V W U R N H P R G H O , W Z D V V H H Q W K D W M R L Q W D L U D Q G I X H O P D Q D J H P H Q W L Q D 6 , H Q J L Q H K D V W K H S R W H Q W L D O W R D F K L H Y H


14/16

, ( ( ( 7 5 $ 1 6 $ & 7 , 2 1 6 2 1 & 2 1 7 5 2 / 6 < 6 7 ( 0 6 7 ( & + 1 2 / 2 * < 9 2 / ; ; 1 2 < 0 2 1 7 +

0 1 2 3 4 5 620

25

30

35

(degrees)

0 1 2 3 4 5 612

14

16

18

A/F

0 1 2 3 4 5 60

50

100

Tb

(Nm)

0 1 2 3 4 5 60

100

200

IVD

(degrees)

0 1 2 3 4 5 60

50

100

pm(

kPa)

0 1 2 3 4 5 61500

2000

2500

N

(RPM)

time (sec)

Stoichiometry

) L J 6 L P X O D W L R Q U H V X O W V Z L W K W K H G H W D L O H G L Q W D N H V W U R N H P R G H O I X H O S X G G O H G \ Q D P L F V D Q G Y D U \ L Q J H Q J L Q H V S H H G 6 R O L G O L Q H U H S U H V H Q W V

H Q J L Q H Z L W K M R L Q W D L U D Q G I X H O F R Q W U R O D Q G W K H G D V K H G O L Q H W K H F R Q Y H Q W L R Q D O H Q J L Q H Z L W K D I H H G I R U Z D U G S O X V 3 , F R Q W U R O O H U 1 R W H W K D W W K H

Y D U L D W L R Q L Q P D Q L I R O G S U H V V X U H G X U L Q J D Q L Q W D N H H Y H Q W L V F D S W X U H G L Q W K L V V L P X O D W L R Q

D I D V W H U $ ) F R Q Y H U J H Q F H U D W H W R V W R L F K L R P H W U \ D Q G O R Z H U S X P S L Q J O R V V H V W K D Q D F R Q Y H Q W L R Q D O O \ F R Q W U R O O H G H Q J L Q H Z L W K

D W R U T X H U H V S R Q V H W K D W L V V L P L O D U W R W K D W R I D F R Q Y H Q W L R Q D O O \ F R Q W U R O O H G H Q J L Q H 7 K L V L P S O L H V W K D W L P S U R Y H G I X H O H F R Q R P \

D Q G H P L V V L R Q V S H U I R U P D Q F H F D Q E H R E W D L Q H G W K U R X J K M R L Q W D L U D Q G I X H O F R Q W U R O Z L W K R X W O R V L Q J G U L Y D E L O L W \

$ F N Q R Z O H G J P H Q W V

7 K H D X W K R U V W K D Q N - & R R N R I ) R U G 0 R W R U & R P S D Q \ I R U K H O S I X O G L V F X V V L R Q V 7 K H Z R U N Z D V V X S S R U W H G E \ D Q 1 6 )

* 2 $ / , J U D Q W ( & 6 Z L W K P D W F K L Q J I X Q G V I U R P ) R U G 0 R W R U & R P S D Q \

$ S S H Q G L [ $ , Q W D N H P D Q L I R O G S U H V V X U H H V W L P D W H Y L D 0 $ ) V H Q V R U

7 K H D O J R U L W K P L Q > @ Z K L F K H V W L P D W H V W K H L Q W D N H P D Q L I R O G S U H V V X U H I U R P G L U H F W P H D V X U H P H Q W R I B P

I U R P W K H 0 $ )

V H Q V R U K R W Z L U H D Q H P R P H W H U L V E U L H o \ V X P P D U L ] H G K H U H 7 K H V H Q V R U G \ Q D P L F V L V D S S U R [ L P D W H G D V D n U V W R U G H U O D J

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Dynamic Control of a SI Engine With Variable Intake Valve Timing

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