Skip to main content
Log in

Mutual information of cylinder pressure and combustion phase estimation in spark ignition engines

  • Published:
Control Theory and Technology Aims and scope Submit manuscript

Abstract

For the study of internal combustion engines, combustion control is an important method to achieve high efficiency and low emissions. Currently, in-cylinder pressure sensor-based closed-loop control strategies have become the preferred solution. However, their productional application in automotive industries is limited due to the cost of intensive pressure acquisition for a whole cycle and the calculation load of combustion phase indicators. This paper proposes a method of combustion phase estimation for spark ignition (SI) engines. In this method, the combustion phase is estimated only based on pressure measurements at several crank angles. Information entropy and mutual information are introduced to analyze the feasibility and accuracy of the combustion phase estimation, which shows that the pressure measurements at selected points contain most of the information for the estimation. As a result, only pressure measurements at 3 points and ELM estimation models are required to obtain the combustion phase, instead of intensive data acquisition and calculation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Song, R. T. Vedula, G. Zhu, et al. Optimal combustion phasing modeling and control of a turbulent jet ignition engine. IEEE-ASME Transactions on Mechatronics, 2018, 23(4): 1811–1822.

    Article  Google Scholar 

  2. H. Tang, L. Weng, Z. Dong, et al. Adaptive and learning control for SI engine model with uncertainties. IEEE-ASME Transactions on Mechatronics, 2009, 14(1): 93–104.

    Article  Google Scholar 

  3. C. Enrico, C. Forte. Spark advance real-time optimization based on combustion analysis. Proceedings of the ASME Internal Combustion Engine Division Fall Technical Conference, San Antonio: American Society of Mechanical Engineers, 2010: 675–685.

    Google Scholar 

  4. L. Steffen, N. Muller, R. Isermann. Methods for engine supervision and control based on cylinder pressure information. IEEE-ASME Transactions on Mechatronics, 1999, 4(3): 235–245.

    Article  Google Scholar 

  5. J. Gao, Y. Zhang, T. Shen. An on-board calibration scheme for map-based combustion phase control of spark-ignition engines. IEEE-ASME Transactions on Mechatronics, 2017, 22(4): 1485–1496.

    Article  Google Scholar 

  6. E. Pipitone. Spark ignition feedback control by means of combustion phase indicators on steady and transient operation. Journal of Dynamic Systems, Measurement, and Control, 2014, 136(5): DOI https://doi.org/10.1115/1.4026966.

    Google Scholar 

  7. E. Hellström, D. Lee, L. Jiang, et al. On-board calibration of spark timing by extremum seeking for flex-fuel engines. IEEE Transactions on control systems technology, 2013, 21(6): 2273–2279.

    Article  Google Scholar 

  8. Y. Zhang, X. Shen, T. Shen. A survey on online learning and optimization for spark advance control of SI engines. Science China Information Sciences, 2018, 61(7): DOI https://doi.org/10.1007/s11432-017-9377-7.

    Google Scholar 

  9. C. E. Shannon. Mathematical theory of communication. Bell System Technical Journal, 1948, 27(3): 379–423.

    Article  MathSciNet  Google Scholar 

  10. B. Monica. A Fundamentals in Information Theory and Coding. Berlin: Springer, 2011.

    MATH  Google Scholar 

  11. G. Huang, Q. Zhu, C. K. Siew. Extreme learning machine: Theory and applications. Neurocomputing, 2006, 70(1): 489–501.

    Article  Google Scholar 

  12. C. Jaesung, O. Seungsuk, M. Kyunghan, et al. Real-time combustion parameter estimation algorithm for light-duty diesel engines using in-cylinder pressure measurement. Applied Thermal Engineering, 2013, 60(1/2): 33–43.

    Google Scholar 

  13. F. Heister, M. Froehlich, Non-linear time series analysis of combustion pressure data for neural network training with the concept of mutual information. Proceedings of the Institution of Mechanical Engineers-Part D: Journal of Automobile Engineering, 2001, 215(2): 299–304.

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank the Toyota Motor Corporation for its financial and technical support of this research.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Huanyu Di.

Additional information

This work was supported by the Toyota Motor Corporation.

Huanyu DI received his B.Eng. and M.Sc. degrees in Mechanical Engineering from the Department of Mechanical Engineering, Tsinghua University, Beijing, China, in 2013 and 2016, respectively. He is currently working toward the Ph.D. degree in Mechanical Engineering with the Department of Engineering and Applied Sciences, Sophia University, Tokyo, Japan. His current research interests include stochastic systems, chaos dynamics, machine learning, and control applications in the automotive engines and hybrid electric vehicles.

Tielong SHEN is a Full Professor in control engineering at Sophia University. He received his Ph.D. degree in Mechanical Engineering from Sophia University in 1992 and joined Sophia University as an Assistant Professor with Tenure in April 1992, where he is currently chairing the Shen Laboratory. His research interests include control theory and applications in automotive systems, power systems, and mechanical systems. In 2005, his laboratory founded a transient control engine test bench and began academicindustrial long-term collaborative research on advanced engine control technology with the Toyota Motor Corporation. Recently, his publication “Transient Control of Gasoline Engines” (CRC Press, 2015) has focused much attention in the research field of automotive control. Dr. Shen has authored/coauthored eleven text books in Japanese, English and Chinese and has published more than 150 research papers in major peer-reviewed journals.

He is currently a member of the IEEE Technical Committee on Automotive Control and the IFAC Technical Committee on Automotive System Control. He has served as general chair of CCC-SICE 2015 and IPC chair for the IFAC Symposium on Advances in Automotive Control and is serving IPC vice-chair of the 5th IFAC Conference on Engine and Powertrain Control, Simulation and Modeling (E-CoSM 2018), Changchun, 2018, and as the general chair of the 6th IFAC E-CoSM, Tokyo.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Di, H., Shen, T. Mutual information of cylinder pressure and combustion phase estimation in spark ignition engines. Control Theory Technol. 18, 34–42 (2020). https://doi.org/10.1007/s11768-020-9047-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11768-020-9047-z

Keywords

Navigation