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

1
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.
2
The Idle Speed Control Problem
specifications
constraints
3
Nonlinear Hybrid Model of the Engine
clutch
control inputs
disturbance inputs
Power-train (CTS FSM)
n(t)
Tload(t)
spark
?(t)
Cylinders (FEM DES)
Intake manifold (CTS)
T(t)
p(t)
?(t)
4
Intake Manifold Continuous Dynamics
5
Power-train Scheme
Cylinders
6
Power-train Continuous Dynamics
7
Power-train Finite State Machine
8
Single Cylinders Finite State Machine
9
Cylinders Finite State Machine
10
Cylinders Discrete Event System
11
Cylinders Discrete Event System
12
The Clutch Closing Manoeuvre
13
The Clutch Closing Manoeuvre
14
The Clutch Closing Manoeuvre
15
Hybrid Models Successive Refinements
16
Hybrid Models Successive Refinements
17
Hybrid Models Successive Refinements
18
Hybrid Models Successive Refinements
19
Comparative Simulations

• Single-location Vs Two-location with spark advance

dc
Tg
Tl
20
Comparative Simulations

• Single-location Vs Two-location with spark advance

21
Comparative Simulations

• Two-location without and with manifold

22
Comparative Simulations

• Two-location without and with manifold

23
Comparative Simulations

• Two-location Vs Three-location

a 3.6 o
Tg
? 5 o
a 3.6 o
Tl
? 5 o
a 3.6 o
Tg
? -3.7 o
a 3.4 o
Tl
? 0 o
24
Comparative Simulations

• Two-location Vs Three-location

25
Conclusions

• Nonlinear model of the intake manifold
• Better modeling of the torque generation
  mechanism
• Modeling of the secondary driveline.