This paper describes a neural-network (NN)-based scheme for the control of a cylinder peak pressure position (PPP)—also known as the location of peak pressure (LPP)—by spark timing in a gasoline internal combustion engine. The scheme uses the ionization current to act as a virtual sensor, which is subsequently used for PPP control. A NN is trained offline on principal-component analysis data to predict the cylinder peak pressure position under dynamically varying engine load, speed, and spark advance (SA) settings. Experimental results demonstrate that the PPP prediction by the NN correlates well with those measured from in-cylinder pressure sensors across transients of load, SA, and engine speeds. The dynamic training data allow rapid model identification across the identified engine range, as opposed to just fixed operating points. A linear robust constrained-variance controller, which is a robustified form of the minimum variance controller, is used to regulate the PPP by SA control action, using the NN as a PPP sensor. The control scheme is validated by experimental implementation on a port fuel-injected four-cylinder 1.6 l gasoline internal combustion engine.

1.
Hubbard
,
M.
,
Dobson
,
P. D.
, and
Powell
,
J. D.
, 1976, “
Closed Loop Control of Spark Advance Using Cylinder Pressure Sensor
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
98
(
4
), pp.
414
420
.
2.
Sellnau
,
M. C.
,
Matekunas
,
F. A.
,
Battison
,
P. A.
,
Chang
,
C.
, and
Lancaster
,
D. R.
, 2000, “
Cylinder-Pressure-Based Engine Control Using Pressure-Ratio-Management and Low-Cost Non-Intrusive Cylinder Pressure Sensors
,” SAE Technical Paper No. 2000-01-0932.
3.
Zhu
,
G. G.
,
Daniels
,
C. F.
, and
Winkelman
,
J.
, 2003, “
MBT Timing Detection and Its Closed-Loop Control Using In-Cylinder Pressure Signal
,” SAE Technical Paper No. 2003-01-3266.
4.
Triantos
,
G.
, 2006, “
NARMAX Modelling and Control With Powertrain Applications
,” Ph.D. thesis, University of Liverpool, Liverpool, UK.
5.
Heywood
,
J.
, 1988,
Internal Combustion Engine Fundamentals
,
McGraw-Hill
,
New York
.
6.
Powell
,
J. D.
, 1993, “
Engine Control Using Cylinder Pressure: Past, Present, and Future
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
115
(
2B
), pp.
343
350
.
7.
Eriksson
,
L.
,
Nielsen
,
L.
, and
Nytomt
,
J.
, 1996, “
Ignition Control by Ionization Current Interpretation
,” SAE Technical Paper No. 960045.
8.
Zhu
,
G.
,
Haskara
,
I.
, and
Winkelman
,
J.
, 2005, “
Stochastic Limit Control and Its Application to Knock Limit Control Using Ionization Feedback
,” SAE Technical Paper No. 2005-01-0018.
9.
Eriksson
,
L.
, and
Nielsen
,
L.
, 1997, “
Ionization Current Interpretation for Ignition Control in Internal Combustion Engines
,”
Control Eng. Pract.
0967-0661,
5
(
8
), pp.
1107
1113
.
10.
Asano
,
M.
,
Kuma
,
T.
,
Kajitani
,
M.
, and
Takeuchi
,
M.
, 1998, “
Development of New Ion Current Combustion Control System
,” SAE Technical Paper No. 980162.
11.
Hellring
,
M.
,
Munther
,
T.
,
Rognvaldsson
,
T.
,
Wickstrom
,
T.
,
Carlsson
,
C.
,
Larsson
,
M.
, and
Nytomt
,
J.
, 1999, “
Spark Advance Control Using the Ion Current and Neural Soft Sensors
,” SAE Technical Paper No. 1999-01-1162.
12.
Holmberg
,
U.
, and
Hellring
,
M.
, 2003, “
A Simple Virtual Sensor for Combustion Timing
,”
ASME J. Dyn. Syst., Meas., Control
0022-0434,
125
(
3
), pp.
462
467
.
13.
Wickstrom
,
N.
,
Taveniku
,
M.
,
Linde
,
A.
,
Larsson
,
M.
, and
Svensson
,
B.
, 1997, “
Estimating Pressure Peak Position and Air-Fuel Ratio Using the Ionization Current and Artificial Neural Networks
,”
IEEE Conference on Intelligent Transportation Systems, Proceedings, ITSC
, pp.
972
977
.
14.
Zhao
,
H.
, and
Ladommatos
,
N.
, 1997, “
Engine Performance Monitoring Using Spark Plug Voltage Analysis
,”
Proc. Inst. Mech. Eng., Part D (J. Automob. Eng.)
0954-4070,
211
, pp.
499
509
.
15.
Malaczynski
,
G. W.
, and
Baker
,
M. E.
, 2003, “
Real-Time Digital Signal Processing of Ionization Current for Engine Diagnostic Control
,” SAE Technical Paper No. 2003-01-0119.
16.
Gazis
,
A.
,
Panousakis
,
D.
,
Chen
,
R.
, and
Chen
,
W. -H.
, 2006, “
Computationally Inexpensive Methods of Ion Current Signal Manipulation for Predicting the Characteristics of Engine In-Cylinder Pressure
,”
Int. J. Engine Res.
1468-0874,
7
(
3
), pp.
271
282
.
17.
Daniels
,
C. F.
, 1998, “
The Comparison of Mass Fraction Burned Obtained From the Cylinder Pressure Signal and Spark Plug Ion Signal
,” SAE Technical Paper No. 980140.
18.
Zhu
,
G. G.
,
Daniels
,
C. F.
, and
Winkelman
,
J.
, 2004, “
MBT Timing Detection and Its Closed-Loop Control Using In-Cylinder Ionization Signal
,” SAE Technical Paper No. 2004-01-2976.
19.
Eriksson
,
L.
, and
Neilsen
,
L.
, 1997, “
Closed Loop Ignition Control by Ionization Current Interpretation
,” SAE Technical Paper No. 970854.
20.
Hellring
,
M.
, and
Holmberg
,
U.
, 2001, “
A Comparison of Ion Current Based Algorithms for Peak Pressure Position Control
,” SAE Technical Paper No. 2001-01-1920.
21.
Johnson
,
R. A.
, and
Wichern
,
D. W.
, 1982,
Applied Multivariate Statistical Analysis
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
22.
Haykin
,
S.
, 1999,
Self-Tuning Systems: Control and Signal Processing
,
Prentice-Hall
,
Englewood Cliffs, NJ
.
23.
Wellstead
,
P. E.
, and
Zarrop
,
M. B.
, 1991,
Self-Tuning Systems
,
Wiley
,
New York
.
24.
Dickinson
,
P. B.
, and
Shenton
,
A. T.
, 2009, “
A Parameter Space Approach to Constrained Variance Discrete PID Controller Design
,”
Automatica
0005-1098,
45
(
3
), pp.
830
835
.
25.
Lindorff
,
D. P.
, 1965,
Theory of Sampled-Data Control Systems
,
Wiley
,
New York
.
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