Research Papers

Modeling and Control of an Electric Variable Valve Timing System

[+] Author and Article Information
Zhen Ren

Mechanical Engineering,
Michigan State University,
East Lansing, MI 48824
e-mail: renzhen@msu.edu and

Guoming G. Zhu

Fellow ASME
Department of Mechanical Engineering,
Department of Electrical and
Computer Engineering, break/>Michigan State University,
1497 Engineering Research Court,
Room E148,
East Lansing, MI 48824
e-mail: zhug@egr.msu.edu

1Present address: Delphi Powertrain Systems, Auburn Hills, MI 48326.

2Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received September 10, 2012; final manuscript received October 24, 2013; published online December 16, 2013. Assoc. Editor: Xubin Song.

J. Dyn. Sys., Meas., Control 136(2), 021015 (Dec 16, 2013) (11 pages) Paper No: DS-12-1297; doi: 10.1115/1.4025914 History: Received September 10, 2012; Revised October 24, 2013

This paper presents a model of an electric variable valve timing (EVVT) system and its closed-loop control design with experimental validation. The studied EVVT uses a planetary gear system to control the engine cam timing. The main motivation of utilizing the EVVT system is its fast response time and the accurate timing control capability. This is critical for the combustion mode transition control between the spark ignition (SI) and homogeneous charge compression ignition (HCCI) combustion, where the engine cam timing needs to follow a desired trajectory to accurately control the engine charge and recompression process. A physics-based model was developed to study the characteristics of the EVVT system, and a control oriented EVVT model, with the same structure as the physics-based one, was obtained using closed-loop system identification. The closed-loop control strategies were developed to control the EVVT to follow a desired trajectory. Both simulation and bench test results are included.

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Moriya, Y., Watanabe, A., Uda, H., Kawamura, H., Yoshiuka, M., and Adachi, M., 1996, “A Newly Developed Intelligent Variable Valve Timing System—Continuously Controlled Cam Phasing as Applied to New 3 Liter Inline 6 Engine,” SAE Technical Paper No. 960579.
Dugdale, P. H., Rademacher, R. J., Price, B. R., Subhedar, J. W., and Duguay, R. L., 2005, “Ecotec 2.4L VVT: A Variant of GM's Global 4-Cylinder Engine,” SAE Technical Paper No. 2005-01-1941.
Hattori, M., Inoue, T., Mashiki, Z., Takenaka, A., Urushihata, H., Morino, S., and Inohara, T., 2008, “Devalopment of Variable Valve Timing System Controlled by Electric Motor,” SAE Technical Paper No. 2008-01-1358.
Theobald, M., Lequesns, B., and Henry, R., 1994, “Control of Engine Load via Electromagnetic Valve Actuators,” SAE Technical Paper No. 940816.
Sun, Z., and Kuo, T., 2010, “Transient Control of Electro-Hydraulic Fully Flexible Engine Valve Actuation System,” IEEE Trans. Control Syst. Technol., 18(3), pp. 613–621. [CrossRef]
Ma, J., Zhu, G., and Schock, H., 2010, “A Dynamic Model of an Electro-Pneumatic Valve Actuator for Internal Combustion Engines,” ASME J. Dyn. Syst., Meas. Control, 132(2),p. 021007. [CrossRef]
Pierik, R. J., and Wilson, J. O., 1994, “Engine Timing Drive With Fixed and Variable Phasing,” U.S. Patent No. 5,327,859.
Urushihata, H., and Lida, H., 2008, “Variable Valve Timing Control Device of Internal Combustion Engine,” U.S. Patent No. 7,363,896.
Zhang, Y., Xie, H., Zhou, N., Chen, T., and Zhao, H., 2007, “Study of SI-HCCI-SI Transition on a Port Fuel Injection Engine Equipped With 4VVAS,” SAE Technical Paper No. 2007-01-0199.
Cairns, A., and Blaxill, H., 2007, “The Effects of Two-Stage Cam Profile Switching and External EGR on SI-CAI Combustion Transitions,” SAE Technical Paper No. 2007-01-0187.
Shaver, G. M., Caton, P. A., Edwards, C. F., Gerdes, J. C., and Roelle, M. J., 2005, “Dynamic Modeling of Residual-Affected Homogeneous Charge Compression Ignition Engines With Variable Valve Actuation,” ASME J. Dyn., Meas., Control, 127(5), pp. 374–381. [CrossRef]
Shaver, G. M., 2005, “Physics Based Modeling and Control of Residual-Affected HCCI Engines Using Variable Valve Actuation,” Ph.D. thesis, Stanford University, Palo Alto, CA.
Law, D., Kemp, D., Allen, J., Kirkpatrick, G., and Copland, T., 2001, “Controlled Combustion in an IC-Engine With a Fully Variable Valve Train,” SAE Technical Paper No. 2001-01-0251.
Milovanovic, N., Chen, R., and Turner, J., 2004, “Influence of the Variable Valve Timing Strategy on the Control of a Homogeneous Charge Compression (HCCI) Engine,” SAE Technical Paper No. 2004-01-1899.
Agrell, F., Angstrom, H., Eriksson, B., Wikander, J., and Linderyd, J., 2003, “Integrated Simulation and Engine Test of Closed Loop HCCI Control by Aid of Variable Valve Timings,” SAE Technical Paper No. 2003-01-0748.
Zhu, G., and Skelton, R. E., 1994, “Integrated Modeling and Control for the Large Spacecraft Laboratory Experiment Facility,” J. Guid. Control Dyn., 17(3), pp. 442–450. [CrossRef]
Zhu, G., Grigoriadis, K. M., and Skelton, R. E., 1995, “Covariance Control Design for Hubble Space Telescope,” J. Guid. Control Dyn., 18(2), pp. 230–236. [CrossRef]
Zhu, G., Rotea, M. A., and Skelton, R., 1997, “A Convergent Algorithm for the Output Covariance Constraint Control Problem,” SIAM J. Control Optim., 35(1), pp. 341–361. [CrossRef]
Ren, Z., and Zhu, G., 2011, “Integrated System ID and Control Design for an IC Engine Variable Valve Timing System,” ASME J. Dyn. Sys., Meas., Control, 133(2), p. 021012. [CrossRef]
Skelton, R. E., and Anderson, B. D. O., 1986, “Q-Markov Covariance Equivalent Realization,” Int. J. Control, 44(5), pp. 1477–1490. [CrossRef]
Liu, K., and Skelton, R. E., 1991, “Identification and control of NASA's ACES structure,” Proceedings of American Control Conference, Boston, MA.
Zhu, G., Skelton, R. E., and Li, P., 1995, “Q-Markov Cover Identification Using Pseudo-Random Binary Signals,” Int. J. Control, 62(1), pp. 1273–1290. [CrossRef]
Zhu, G., 2000, “Weighted Multirate q-Markov Cover Identification Using PRBS—An Application to Engine Systems,” Math. Probl. Eng., 6, pp. 201–224. [CrossRef]
Shigley, J. E., and Mischke, C. R., 2001, Mechanical Engineering Design, 6th ed., McGraw-Hill, New York.
Phillips, C. L., and Harbor, R. D., 2000, Feedback Control System, 4th ed., Prentice–Hall, Englewood Cliffs, NJ.
Meerkov, S., and Runolfsson, T., 1989, “Output Residence Time Control,” IEEE Trans. Autom. Control, 34, pp. 1171–1176. [CrossRef]
Wilson, D. A., 1989, “Convolution and Hankel Operator Norms for Linear Systems,” IEEE Trans. Autom. Control, 34, pp. 94–97. [CrossRef]
Zhu, G., Corless, M., and Skelton, R., 1989, “Robustness Properties of Covariance Controllers,” Proceedings of Allerton Conference, Monticello, IL.
Ren, Z., and Zhu, G., 2009, “Pseudo-Random Binary Sequence Closed-Loop System Identification Error With Integration Control,” Proc. Inst. Mech. Eng., Part I: J. Syst. Control Eng., 233, pp. 877–884. [CrossRef]
Codrons, B., Anderson, B. D. O., and Gevers, M., 2002, “Closed-Loop Identification With an Unstable or Nonminimum Phase Controller,” Automatica, 38, pp. 2127–2137. [CrossRef]
Peterson, W. W., 1961, Error Correcting Coding, MIT Technical Press, Cambridge, MA.
Anderson, B. D. O., and Skelton, R. E., 1988, “The Generation of all q-Markov Covers,” IEEE Trans. Circuits Syst., 35(4), pp. 375–384. [CrossRef]
King, A. M., Desai, U. B., and Skelton, R. E., 1988, “A Generalized Approach to q-Markov Covariance Equivalent Realization for Discrete Systems,” Automatica, 24(4), pp. 507–515. [CrossRef]
Shi, Y., and Burton, R., 2013, “Modeling and Robust Discrete-Time Sliding-Mode Control Design for a Fluid Power Electrohydraulic Actuator (EHA) System,” IEEE/ASME Trans. Mechatron., 18(1), pp. 1–10. [CrossRef]


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Fig. 1

Electric planetary gear VVT system

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Fig. 2

Free body diagrams of planetary gear components

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Fig. 3

Block diagram of an electric motor with the planetary gear system

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Fig. 4

EVVT control system architecture

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Fig. 5

Torque load for single cylinder

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Fig. 6

Simulated cam phase responses at 1500 rpm

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Fig. 7

Cam phase output comparison at 2000 rpm

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Fig. 8

EVVT system test bench diagram

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Fig. 10

Closed-loop identification framework

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Fig. 11

EVVT bench step response comparison

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Fig. 12

EVVT phase tracking comparison

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Fig. 13

Sinusoidal responses of the closed-loop EVVT system at 0.01 and 1.00 Hz

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Fig. 14

Measured and identified EVVT frequency responses at 1000 rpm

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Fig. 15

Impact of engine oil viscosity on EVVT response



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