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Calibration of catalyst temperature in automotive engines over coldstart operation in the presence of different random noises and uncertainty: Implementation of generalized Gaussian process regression machine

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Abstract

The main scope of the current study is to develop a systematic stochastic model to capture the undesired uncertainty and random noises on the key parameters affecting the catalyst temperature over the coldstart operation of automotive engine systems. In the recent years, a number of articles have been published which aim at the modeling and analysis of automotive engines’ behavior during coldstart operations by using regression modeling methods. Regarding highly nonlinear and uncertain nature of the coldstart operation, calibration of the engine system’s variables, for instance the catalyst temperature, is deemed to be an intricate task, and it is unlikely to develop an exact physics-based nonlinear model. This encourages automotive engineers to take advantage of knowledge-based modeling tools and regression approaches. However, there exist rare reports which propose an efficient tool for coping with the uncertainty associated with the collected database. Here, the authors introduce a random noise to experimentally derived data and simulate an uncertain database as a representative of the engine system’s behavior over coldstart operations. Then, by using a Gaussian process regression machine (GPRM), a reliable model is used for the sake of analysis of the engine’s behavior. The simulation results attest the efficacy of GPRM for the considered case study. The research outcomes confirm that it is possible to develop a practical calibration tool which can be reliably used for modeling the catalyst temperature.

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References

  1. Wouk V. Hybrid electric vehicles. Scientific American, 1997, 277 (2): 70–74

    Article  Google Scholar 

  2. Vajedi M, Chehresaz M, Azad N L. Intelligent power management of plug-in hybrid electric vehicles, part I: Real-time optimum SOC trajectory builder. International Journal of Electric and Hybrid Vehicles, 2014, 6(1): 46–67

    Article  Google Scholar 

  3. Leonhard R. Reducing CO2 emissions with optimized internalcombustion engines. 60th Automotive Press Briefing, Boxberg, 2011

    Google Scholar 

  4. Sanketi P R. Coldstart modeling and optimal control design for automotive SI engines. Dissertation for the Doctoral Degree. Berkeley: University of California, 2009

    Google Scholar 

  5. Azad N L, Sanketi P R, Hedrick J K. Determining model accuracy requirements for automotive engine coldstart hydrocarbon emissions control. Journal of Dynamic Systems, Measurement, and Control, 2012, 134(5): 051002.1–051002.11

    Article  Google Scholar 

  6. Mozaffari A, Azad N L. Optimally pruned extreme learning machine with ensemble of regularization techniques and negative correlation penalty applied to automotive engine coldstart hydrocarbon emission identification. Neurocomputing, 2014, 131: 143–156

    Article  Google Scholar 

  7. Zavala J C, Sanketi P R, Wilcutts M, et al. Simplified models of engine HC emissions, exhaust temperature and catalyst temperature for automotive coldstart. In: Proceedings of 5th IFAC Symposium on Advances in Automotive Control. Monterey Coast, 2007

    Google Scholar 

  8. Zavala J C. Engine modeling and control for minimization of hydrocarbon coldstart emissions in SI engine. Dissertation for the Doctoral Degree. Berkeley: University of California, 2007

    Google Scholar 

  9. Bede B. Mathematics of Fuzzy Sets and Fuzzy Logic. Berlin: Springer, 2013

    Book  MATH  Google Scholar 

  10. Franklin J. The elements of statistical learning: Data mining, inference, and prediction. The Mathematical Intelligencer, 2009, 27 (2): 83–85

    Article  MathSciNet  Google Scholar 

  11. Güvenç B A, Güvenç L, Karaman S. Robust MIMO disturbance observer analysis and design with application to active car steering. International Journal of Robust and Nonlinear Control, 2010, 20: 873–891

    MathSciNet  MATH  Google Scholar 

  12. Gibson A, Kolmonovsky I, Hrovat D. Application of disturbance observers to automotive engine idle speed control for fuel economy improvement. In: American Control Conference. Minneapolis: IEEE, 2006

    Google Scholar 

  13. Turner J. Automotive Sensors. New York: Momentum Press, 2009

    Google Scholar 

  14. Caponetto R, Fortuna L, Fazzino S, et al. Chaotic sequences to improve the performance of evolutionary algorithms. IEEE Transactions on Evolutionary Computation, 2003, 7(3): 289–304

    Article  Google Scholar 

  15. Ebden M. Gaussian Process for Regression: A Quick Introduction. Technical Report, University of Oxford, 2008

    Google Scholar 

  16. Mozaffari A, Azad N L. Coupling Gaussian generalized regression neural network and mutable smart bee algorithm to analyze the characteristics of automotive engine coldstart hydrocarbon emission. Journal of Experimental & Theoretical Artificial Intelligence, 2015, 27(3): 253–272

    Article  Google Scholar 

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Correspondence to Nasser L. Azad.

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Azad, N.L., Mozaffari, A. Calibration of catalyst temperature in automotive engines over coldstart operation in the presence of different random noises and uncertainty: Implementation of generalized Gaussian process regression machine. Front. Mech. Eng. 10, 405–412 (2015). https://doi.org/10.1007/s11465-015-0354-x

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  • DOI: https://doi.org/10.1007/s11465-015-0354-x

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