a nonlinear hybrid model of a 4-cylinder engine for idle speed control

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A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control Andrea Balluchi (1) , Marco Zoncu (1) , Tiziano Villa (1) , Alberto L. Sangiovanni-Vincentelli (1, 2) (1) PARADES E.E.I.G., Roma, Italy. (2) Dept. of EECS, University of California, Berkeley CA. CC Meeting in Amsterdam June 16-17, 2003.

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A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control. Andrea Balluchi (1) , Marco Zoncu (1) , Tiziano Villa (1) , Alberto L. Sangiovanni-Vincentelli (1, 2). (1) PARADES E.E.I.G., Roma, Italy. (2) Dept. of EECS, University of California, Berkeley CA. - PowerPoint PPT Presentation

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Page 1: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Andrea Balluchi (1), Marco Zoncu (1), Tiziano Villa (1), Alberto L. Sangiovanni-Vincentelli (1, 2)

(1) PARADES E.E.I.G., Roma, Italy.(2) Dept. of EECS, University of California, Berkeley CA.

CC Meeting in Amsterdam June 16-17, 2003.

Page 2: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

The Idle Speed Control Problem

specifications:

Maintaining the crankshaft speed within a specified range despite load torque disturbances and transmission engagements/disengagements.

constraints:

Good combustion and emission quality;

Acceptable NVH characteristics.

Page 3: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Nonlinear Hybrid Model of the Engine

Power-train (CTS + FSM)

Cylinders (FEM + DES)

Intake manifold(CTS)

n(t)

(t)p(t)(t) T(t)

Tload(t)spark

clutchcontrol inputs

disturbance inputs

Page 4: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Intake Manifold: Continuous Dynamics

Pressure dynamics:

Equivalent throttle area:

Air flow rate:

Page 5: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Power-train: Scheme

Cylinders

Page 6: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Power-train: Continuous Dynamics

Driveline segments dynamics (clutch open):

Connected driveline dynamics (clutch closed):

Crankshaft angle:

Page 7: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Power-train: Finite State Machine

off /

clutch open

clutch closed

on /

Page 8: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Single Cylinder’s Finite State Machine

dc

dcdc

dc

spk

spk

spk&

dc

dc

I

H

BS

ASPA

NA

C E

negative spark advancenegative spark advance positive spark advancepositive spark advance

T := 0AS to H

:= -

T := TE(m, - )

NA to AS

T := TE(m, )PA to AS

:= 180 -

T := -TC(p,n)

BS to PA

m := Gmpp + M0

T := -TC(p,n)

I to BS

Page 9: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Cylinders: Finite State Machine

Page 10: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Cylinders: Discrete Event System

Page 11: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Cylinders: Discrete Event System

Page 12: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

The Clutch Closing Manoeuvre

Page 13: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

The Clutch Closing Manoeuvre

Page 14: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

The Clutch Closing Manoeuvre

Page 15: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Hybrid Model’s Successive Refinements

single-location automaton

two-location automaton with spark advance

Page 16: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Hybrid Model’s Successive Refinements

two-location automaton with clutch state

Page 17: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Hybrid Model’s Successive Refinements

two-location automaton with manifold dynamics

Page 18: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Hybrid Model’s Successive Refinements

three-location automaton

Page 19: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Comparative Simulations

• Single-location Vs Two-location with spark advance

Tl

Tg

dc

Tg

Tl

dc

spark=20 o

=14 o

Page 20: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Comparative Simulations

• Single-location Vs Two-location with spark advance

dc

n

dc

spark

n

Page 21: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Comparative Simulations

• Two-location without and with manifold

Tg

Tl

= 20 o

o

= 6.7 o

o

Tl

Tg = 6.7 o

= 20 o

Page 22: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Comparative Simulations

• Two-location without and with manifold

n

= 6.7 o

= 20 on

= 6.7 o

o

= 20 o

o

Page 23: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Comparative Simulations

• Two-location Vs Three-location

Tl

Tg

Tg

Tl

= 5 o

= 0 o

= -3.7 o

o

= 5 o

o

o

o

Page 24: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Comparative Simulations

• Two-location Vs Three-location

Tl

= 5 o

o

n

= 5 o

o

= 0 o

o

n

= 5 o

o

= -3.7 o

o

Page 25: A Nonlinear Hybrid Model of a 4-Cylinder Engine for Idle Speed Control

Conclusions

• Nonlinear model of the intake manifold;

• Better modeling of the torque generation mechanism;

• Modeling of the secondary driveline.