Maximization of the fuel economy of the lean burn spark ignition (SI) engine strongly depends on precise air-fuel ratio control. A great challenge associated with the air-fuel ratio feedback control is the large variable time delay in the exhaust system. In this paper, a systematic development of an air-fuel ratio controller based on post lean trap (LNT) oxygen sensor feedback using linear parameter-varying (LPV) control is presented. Satisfactory stability and disturbance rejection performance is obtained in the face of the variable time delay. The LPV controller is simplified to an explicit parameterized gain scheduled lead-lag controller form for the ease of implementation. A Ford F-150 truck with a V8 4.6 l lean burn engine was used to demonstrate the LPV air-fuel ratio control design. Both simulation and experimental results demonstrate that the designed controller regulates the tailpipe air-fuel ratio to the preset reference for the full engine operating range.
Issue Section:
Technical Papers
1.
Heywood
, J. B.
, 1988, Internal Combustion Engine Fundamentals
, McGraw - Hill
, New York.2.
Asik
, J. R.
, Farkas
, R.
, Beier
, R.
, and Meyer
, G. M.
, 1999, “Closed-Loop Measurement of NOx Storage Capacity and Oxygen Storage Capacity of a Lean NOx Trap
,” SAE Paper No. 99011283.3.
Hepburn
, J. S.
, Thanasiu
, E.
, Dobson
, D. A.
, and Watkins
, W. L.
, 1996, “Experimental and Modeling Investigations of NOx Trap Performance
,” SAE Paper No. 962051.4.
Kim
, Y. M.
, Sun
, J.
, Kolmanovsky
, I.
, and Koncsol
, J.
, 2003, “A Phenomenological Control Oriented Lean NOx Trap Model
,” SAE Paper No. 03011164.5.
Sharma
, M.
, Harold
, M.
, and Balakotaiah
, V.
, 2005, “Analysis of Periodic Storage and Reduction of NOx in Catalytic Monoliths
,” Ind. Eng. Chem. Res.
0888-5885, 44
(16
), pp. 6264
–6277
.6.
Sun
, J.
, Kim
, Y. W.
, and Wang
, L.
, 2004, “Aftertreatment Control and Adaptation for Automotive Lean Burn Engines With HEGO Sensors
,” Int. J. Adapt. Control Signal Process.
0890-6327, 18
(2
), pp. 145
–166
.7.
Kim
, Y.-W.
, Sun
, J.
, and Wang
, L. Y.
, 2004, “Optimization of Purge Air-to-Fuel Ratio Profiles for Enhanced Lean NOx Trap Control
,” in Proceedings of the 2004 American Control Conference
, Boston, MA, pp. 132
–137
.8.
Jones
, V. K.
, Ault
, B. A.
, Franklin
, G. F.
, and Powell
, J. D.
, 1995, “Identification and Air-Fuel Ratio Control of a Spark Ignition Engine
,” IEEE Trans. Control Syst. Technol.
1063-6536, 3
(1
), pp. 14
–21
.9.
Bidan
, P.
, Boverie
, S.
, and Chaumerliac
, V.
, 1995, “Nonlinear Control of a Spark-Ignition Engine
,” IEEE Trans. Control Syst. Technol.
1063-6536, 3
(1
), pp. 4
–13
.10.
Guzzella
, L.
, 1995, “Models and Model-Based Control of IC-Engines - A Nonlinear Approach
,” SAE Paper No. 950844.11.
Turin
, R. C.
, 1995, “Model-Reference Adaptive A/F-Ratio Control in an SI Engine Based on Kalman-Filtering Techniques
,” Proceedings of the American Control Conference
, Seattle, WA, pp. 4082
–4089
.12.
Fekete
, N. P.
, Nester
, U.
, Gruden
, I.
, and Powell
, J. D.
, 1995, “Model-Based Air-Fuel Ratio Control of a Lean Multi-Cylinder Engine
,” SAE Paper No. 950846.13.
Smith
, O. J. M.
, 1957, “Closer Control of Loops With Dead Time
,” Chem. Eng. Prog.
0360-7275, 53
(5
), pp. 217
–219
.14.
Palmor
, Z. J.
, 1996, Time-Delay Compensation - Smith Predictor and Its Modifications, The Control Handbook
, S.
Levine
, ed., CRC Press
, Boca Raton, FL.15.
Meinsma
, G.
, and Zwart
, H.
, 2000, “On H∞ Control for Dead-Time Systems
,” IEEE Trans. Autom. Control
0018-9286, 45
(2
), pp. 272
–285
.16.
Zhong
, Q.-C.
, 2003, “On Standard H∞ Control of Processes With a Single Delay
,” IEEE Trans. Autom. Control
0018-9286, 48
(6
), pp. 1097
–1103
.17.
Qin
, S. J.
, and Badgwell
, T. A.
, 2003, “A Survey of Industrial Model Predictive Control Technology
,” Control Eng. Pract.
0967-0661, 11
(7
), pp. 733
–764
.18.
Apkarian
, P.
, and Adams
, R.
, 1998, “Advanced Gain-Scheduling Techniques for Uncertain System
,” IEEE Trans. Control Syst. Technol.
1063-6536, 6
(1
), pp. 21
–32
.19.
Wu
, F.
, Yang
, X. H.
, Packard
, A. K.
, and Becker
, G.
, 1996, “Induced L2 Norm Control for LPV Systems With Bounded Parameter Variation Rates
,” Int. J. Robust Nonlinear Control
1049-8923, 6
(9–10
), pp. 983
–998
.20.
Becker
, G.
, and Packard
, A. K.
, 1994, “Robust Performance of Linear Parametrically Varying Systems Using Parametrically-Dependent Linear Feedback
,” Syst. Control Lett.
0167-6911, 23
(3
), pp. 205
–215
.21.
Biannic
, J.-M.
, Apkarian
, P.
, and Garrard
, W. L.
, 1997, “Parameter Varying Control of a High-Performance Aircraft
,” J. Guid. Control Dyn.
0731-5090, 20
(2
), pp. 225
–231
.22.
Spillman
, M. S.
, 2000, “Robust Longitudinal Flight Control Design Using Linear Parameter-Varying Feedback
,” J. Guid. Control Dyn.
0731-5090, 23
(1
), pp. 101
–108
.23.
Balas
, G. J.
, 2002, “Linear Parameter-Varying Control and its Application to a Turbofan Engine
,” Int. J. Robust Nonlinear Control
1049-8923, 12
(9
), pp. 763
–796
.24.
Song
, Q.
, and Grigoriadis
, K.
, 2004, “Diesel Engine Control Using Parameter Varying Methods
,” WSEAS Trans. Systems
, 3
(5
), pp. 2335
–2341
.25.
Mehendale
, C. S.
, Fialho
, I. J.
, and Grigoriadis
, K. M.
, 2003, “A Linear Parameter-Varying Framework for Adaptive Active Microgravity Isolation
,” in Proceedings of the American Control Conference
, Denver, CO, pp. 1452
–1457
.26.
Shafai
, E.
, Roduner
, C. A.
, and Geering
, H. P.
, 1997, “On-Line Identification of Time Delay in the Fuel Path of an SI Engine
,” SAE Paper No. 970613.27.
Fiengo
, G.
, Grizzle
, J. W.
, Cook
, J. A.
, and Karnik
, A. Y.
, 2005, “Dual-UEGO Active Catalyst Control for Emissions Reduction: Design and Experimental Validation
,” IEEE Trans. Control Syst. Technol.
1063-6536, 13
(5
), pp. 722
–736
.28.
Skelton
, R. E.
, Iwasaki
, T.
, and Grigoriadis
, K.
, 1998, A Unified Algebraic Approach to Linear Control Design
, Taylor & Francis
.29.
Gahinet
, P.
, and Apkarian
, P.
, 1994, “A Linear Matrix Inequality Approach to H∞ Control
,” Int. J. Robust Nonlinear Control
1049-8923, 4
(4
), pp. 421
–448
.30.
Apkarian
, P.
, 1997, “On the Discretization of LMI-Synthesized Linear Parameter-Varying Controllers
,” Automatica
0005-1098, 33
(4
), pp. 655
–661
.Copyright © 2007
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