A control-oriented air-fuel ratio path model is developed to represent a spark-ignited, port-fuel-injected, twin-independent variable cam timing engine. Following a recent publication [Genç et al., SAE 2002-01-2752 (2002)] showing that cam timing not only affects the cylinder air flow but also the transient cylinder fuel flow, this paper constructs a mean value model that describes both air and fuel dynamics. While steady-state engine tests have been performed in order to identify the air path dynamics, a combination of linear and nonlinear identification methods have been used in order to identify the fuel path model including the wall-wetting dynamics. The resulting parameter-varying model has been validated with independent experimental data and can be used in powertrain controller design and development.
Issue Section:
Technical Papers
Keywords:
cams (mechanical),
power transmission (mechanical),
internal combustion engines,
fuel systems,
aerodynamics,
engine cylinders,
mechanical testing,
automotive components,
design engineering,
automobile industry,
control system synthesis
Topics:
Cylinders,
Dynamics (Mechanics),
Engines,
Fuels,
Transients (Dynamics),
Wetting,
Sensors,
Air flow,
Valves,
Steady state,
Delays
1.
Leone
, T. G.
, Christenson
, E. J.
, and Stein
, R. A.
, 1996, “Comparison of Variable Camshaft Timing Strategies at Part Load
,” SAE 960584.2.
Stein
, R. A.
, Galietti
, K. M.
, and Leone
, T. G.
, 1995, “Dual Equal VCT-A Variable Camshaft Timing Strategy for Improved Fuel Economy and Emissions
,” SAE 950975.3.
Genç
, A. U.
, Glover
, K.
, and Ford
, R.
, 2001, “Nonlinear Control of Hydraulic Camshaft Actuators in Variable Cam Timing Engines
,” in MECA International Workshop
, University of Salerno
, Italy, September, pp. 49
–54
.4.
Jankovic
, M.
, and Frischmuth
, F.
, 1997, “Disturbance Rejection in SI Engines With Variable Cam Timing
,” in ACC, Albuquerque, NM, June, pp. 289
–293
.5.
Jankovic
, M.
, Frischmuth
, F.
, Stefanopoulou
, A. G.
, and Cook
, J. A.
, 1998, “Torque Management of Engines With Variable Cam Timing
,” IEEE Control Syst.
1066-033X, 18
(5
) p. 34
.6.
Hsieh
, S. C.
, Stefanopoulou
, A. G.
, Freudenberg
, J. S.
, and Butts
, K. R.
, 1997, “Emissions and Drivability Tradeoffs in a Variable Cam Timing SI Engine With Electronic Throttle
,” in ACC, Albuquerque, NM, June, pp. 284
–288
.7.
Hsieh
, C. S.
, Freudenberg
, S. J.
, and Stefanopoulou
, A. G.
, 1999, “Multivariable Controller Structure in a Variable Cam Timing Engine With Electronic Throttle and Torque Feedback
,” in Conf. on Control Appl.
, Hawaii, pp. 465
–470
.8.
Gorinevsky
, D.
, Cook
, J.
, Feldkamp
, L.
, and Vukovich
, G.
, 1999, “Predictive Design of Linear Feedback/Feedforward Controller for Automotive VCT Engines
,” in ACC, June, Vol. 1
, pp. 207
–211
.9.
Kang
, J. M.
, and Grizzle
, J. W.
, “Dynamic Control of a SI Engine With Variable Valve Timing
,” to appear in International Journal of Robust and Nonlinear Control.10.
Jankovic
, M., and Magner
, S. W.
, 2002, “Variable Cam Timing: Consequences to Automotive Engine Control Design
,” in IFAC, 15th Triennial World Congress
.11.
Genç
, A. U.
, Ford
, R.
, Glover
, K.
, and Collings
, N.
, 2002, “Experimental Investigation of Changing Fuel Path Dynamics in Twin-Independent Variable Cam Timing Engines
,” SAE 2002-01-2752.12.
Chin
, Y.
, and Coats
, F. E.
, 1986, “Engine Dynamics: Time-Based Versus Crank-Angle Based
,” SAE 860142.13.
Heywood
, J. B.
, 1998, Internal Combustion Engine Fundamentals
, McGraw-Hill
, New York.14.
Genç
, A. U.
, 2002, “Linear Parameter-Varying Modeling and Robust Control of Twin Independent Variable Cam Timing Engines
,” PhD thesis, University of Cambridge, Department of Engineering, UK, November.15.
Moskwa
, J. J.
, and Hedrick
, J. K.
, 1992, “Modeling and Validation of Automotive Engines for Control Algorithm Development
,” J. Dyn. Syst., Meas., Control
0022-0434, 114
, pp. 278
–285
.16.
Chevalier
, A.
, Vigild
, C. W.
, and Hendricks
, E.
, 2000, “Predicting the Port Air Mass Flow of SI Engines in Air/Fuel Ratio Control Applications
,” SAE 2000-01-0260.17.
Stefanopoulou
, A. G.
, Cook
, J. A.
, Grizzle
, J. W.
, and Freudenberg
, J. S.
, 1998, “Control-Oriented Model of a Dual Equal Variable Cam timing Spark Ignition Engine
,” J. Dyn. Syst., Meas., Control
0022-0434, 120
, pp. 257
–266
.18.
Aquino
, C. F.
, 1981, “Transient A/F Control Characteristics of the 5Liter Central Fuel Injection Engine
,” SAE 810494.19.
Hires
, S. D.
, and Overington
, M. T.
, 1981, “Transient Mixture Strength Excursions—An Investigation of Their Causes and the Development of a Constant Mixture Strength Fueling Strategy
,” SAE 810495.20.
Turin
, R. C.
, and Geering
, H. P.
, 1993, “On-Line Identification of Air-to-Fuel Ratio Dynamics in a Sequentially Injected SI Engine
,” SAE 930857.21.
Purdy
, G. R.
, and Douglas
, R.
, 1993, “Wall-Wetting Theories Applied to the Transient Operation of a Single Cylinder Four-Stroke Gasoline Engine
,” SAE 932446.22.
Turin
, R. C.
, Casartelli
, E. G. B.
, and Geering
, H. P.
, 1994, “A New Model for Fuel Supply Dynamics in an SI Engine
,” SAE 940208.23.
Onder
, C. H.
, and Geering
, H. P.
, 1994, “Measurement of the Wall-Wetting Dynamics of a Sequential Injection Spark Ignition Engine
,” SAE 940447.24.
Onder
, C. H.
, Roduner
, C. A.
, and Geering
, H. P.
, 1997, “Model Identification for the A/F Path of an SI Engine
,” SAE 970612.25.
Jurgen
, R.
, 1995, Automotive Electronics Handbook
, McGraw-Hill
, New York.26.
Ljung
, L.
, 1999, System Identification-Theory for the User
, 2nd ed., Prentice Hall
, Englewood Cliffs, NJ.27.
Ogata
, K.
, 1987, Discrete-Time Control Systems
, Prentice-Hall
, Englewood Cliffs, NJ.28.
Simons
, M. R.
, Locatelli
, M.
, Onder
, C. H.
, and Geering
, H. P.
, 2000, “A Nonlinear Wall-Wetting Model for the Complete Operating Region of a Sequential Fuel Injected SI Engine
,” SAE 2000-01-1260.Copyright © 2005
by American Society of Mechanical Engineers
You do not currently have access to this content.
