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Estimation and feedback control of air-fuel ratio for gasoline engines

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Abstract

In 4-stroke internal combustion engines, air-fuel ratio control is a challenging task due to the rapid changes of engine throttle, especially during transient operation. To improve the transient performance, managing the cycle-to-cycle transient behavior of the mass of the air, the fuel and the burnt gas is a key issue due to the imbalance of cyclic combustion process. This paper address the model-based estimation and control problem for cyclic air-fuel ratio of spark-ignition engines. A discrete-time model of air-fuel ratio is proposed, which represents the cycle-to-cycle transient behavior of in-cylinder state variables under the assumptions of cyclic measurability of the total in-cylinder charge mass, combustion efficiency and the residual gas fraction. With the model, a Kalman filter-based air-fuel ratio estimation algorithm is proposed that enable us to perform a feedback control of air-fuel ratio without using lambda sensor. Finally, experimental validation result is demonstrated to show the effectiveness of proposed estimation and control scheme that is conducted on a full-scaled gasoline engine test bench.

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References

  1. J. Yang, T. Shen, X. Jiao. Model-based stochastic optimal air-fuelratio control with residual gas fraction of spark ignition engines. IEEE Transactions on Control Systems Technology, 2013, 22(3):896–910.

    Article  Google Scholar 

  2. D. Clerk. The Gas Engine. 1st ed. New York: Longmans, Green and Co., 1886.

    Google Scholar 

  3. D. C. Rakopoulos, C. D. Rakopoulos, E. G. Giakoumis, et al. Studying combustion and cyclic irregularity of diethyl ether as supplement fuel in diesel engine. Fuel, 2013, 109: 325–335.

    Article  Google Scholar 

  4. M. Reyes, F. V. Tinaut, B. Gimenez. Characterization of cycle-to-cycle variations in a natural gas spark ignition engine. Fuel, 2015, 140: 752–761.

    Article  Google Scholar 

  5. D. C. Rakopoulos, C. D. Rakopoulos, E. G. Giakoumis, et al. Experimental-stochastic investigation of the combustion cyclic variability in HSDI diesel engine using ethanol-diesel fuel blends. Fuel, 2008, 87(8): 1478–1491.

    Article  Google Scholar 

  6. C. S. Daw, C. E. A. Finney, J. B. Green, et al. A Simple Model for Cyclic Variations in a Spark-ignition Engine. SAE Technical Paper 962086. 1996: DOI 10.4271/962086.

    Google Scholar 

  7. C. S. Daw, C. E. A. Finney, M. B. Kennel, et al. Observing and modeling nonlinear dynamics in an internal combustion engine. Physical Review E, 1998, 57(3): 2811–2819.

    Article  Google Scholar 

  8. G. Rizzoni. A stochastic model for the indicated pressure process and the dynamics of internal combustion engine. IEEETransactions on Vehicular Technology, 1989, 38(3): 180–192.

    Article  Google Scholar 

  9. J. B. Vance, B. C. Kaul, S. Jagannathan, et al. Output feedback controller for operation of spark ignition engines at lean conditions using neural networks. IEEE Transactions on Control Systems Technology, 2008, 16(2): 214–228.

    Article  Google Scholar 

  10. S. Wang, D. Yu, J. B. Gomn, et al. Adaptive neural network model based predictive control of an internal combustion engine with a new optimisation algorithm. Proceedings of the Institution of Mechanical Engineerings–Part D: Journal of Automobile Engineering, 2006, 220(2): 195–208.

    Article  Google Scholar 

  11. S. Pace, G. Zhu. Sliding mode control of a dual-fuel system internal combustion engine. Proceedings of the ASME Dynamic systems and Control Conference. New York: ASME, 2010: 881–887.

    Google Scholar 

  12. J. Yang, T. Shen, X. Jiao. Air-fuel ratio control with stochastic L2 disturbance attenuation in gasoline engines. Journal of Control Theory and Applications, 2013, 11(4): 586–591.

    Article  MathSciNet  Google Scholar 

  13. Y. Yildiz, A. M. Annaswamy, D. Yanakiev, et al. Spark ignition engine fuel-to-air ratio control: an adaptive control approach. Control Engineering Practice, 2010, 18(12): 1369–1378.

    Article  Google Scholar 

  14. S. Pace, G. Zhu. Transient air-to-fuel ratio control of an spark ignited engine using linear quadratic tracking. Journal of Dynamic Systems Measurement and Control, 2014, 136(2): DOI10.1115/1.4025858.

    Google Scholar 

  15. I. Arsie, D. L. Rocco, C. Pianese, et al. Estimation of in-cylinder mass and AFR by cylinder pressure measurement in automotive Diesel engines. Proceedings of the 19th IFAC World Congress. Cape Town, South Africa: IFAC, 2014: 11836–11841.

    Google Scholar 

  16. P. Tunestl, J. K. Hedrick. Cylinder air/fuel ratio estimation using net heat release data. Control Engineering Practice, 2003, 11(3):311–318.

    Article  Google Scholar 

  17. G. W. Pestana. Engine Control Methods Using Combustion Pressure Feedback. SAE Technical Paper 890758, 1989: DOI10.4271/890758.

    Google Scholar 

  18. P. Wibberley, C. A. Clark. An Investigation of Cylinder Pressure as Feedback for Control of Internal Combustion Engines. SAE Technical Paper 890396, 1989: DOI 10.4271/890396.

    Google Scholar 

  19. J. M. Desantes, J. Galindo, C. Guardiola, et al. Air mass flow estimation in turbocharged diesel engines from in-cylinder pressure measurement. Experimental Thermal and Fluid Science,2010, 34(1): 37–47.

    Article  Google Scholar 

  20. J. B. Heywood. Internal Combustion Engine Fundamentals. NewYork: Mcgraw-hill, 1988.

    Google Scholar 

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Authors and Affiliations

  1. Department of Engineering and Applied Science, Sophia University, Tokyo, Japan

    Madan Kumar & Tielong Shen

Authors
  1. Madan Kumar
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  2. Tielong Shen
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Correspondence to Madan Kumar.

Additional information

Madan KUMAR received the M.Sc. degree from Indian Institute of Technology Madras, India, in 2014. He is currently pursuing the Ph.D degree with the Department of Mechanical Engineering, Sophia University, Tokyo, Japan. His current research interests include cyclic control of air-fuel ratio, residual gas fraction and NOx emission control.

Tielong SHEN received the Ph.D. degree in Mechanical Engineering from Sophia University, Tokyo, Japan, in 1992. He has been a faculty member with the Department of Mechanical Engineering, Sophia University, since 1992, where he currently serves as a professor with the Department of Engineering and Applied Sciences. His current research interests include control theory and application in mechanical systems, power systems, and automotive power train.

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Kumar, M., Shen, T. Estimation and feedback control of air-fuel ratio for gasoline engines. Control Theory Technol. 13, 151–159 (2015). https://doi.org/10.1007/s11768-015-4148-9

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  • DOI: https://doi.org/10.1007/s11768-015-4148-9

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