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Model-Free Control for High Pressure in a Direct Injection System

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Abstract

This paper presents the application of an ultra-local model-free controller to control the high pressure in a direct injection fuel system, which has high nonlinearities and is subjected to disturbance due to fuel injections. A wide range of operating points is considered, making the controller tuning a difficult task. The main target is to select only one adjustment that meets the performance requirements. A mathematical model is established for simulation, considering the main parts of the direct injection system. The steps used for empirically tuning the controller parameters are discussed. Simulations are carried out, and the results demonstrate the ability of model-free to control a nonlinear system without knowledge of the system parameters.

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References

  • Balluchi, A., Bicchi, A., Mazzi, E., Vincentelli, A., & Serra, G. (2006). Hybrid modelling and control of the common rail injection system. In J. Hespanha & A. Tiwari (Eds.), Hybrid systems: Computation and control (pp. 79–92). Berlin: Springer.

    Chapter  MATH  Google Scholar 

  • Cai, L., Mao, X., & Ma, Z. (2018). Investigation on nonlinear speed regulating system in a high-pressure common-rail diesel. In 2018 10th international conference on intelligent human-machine systems and cybernetics (IHMSC) (Vol. 02, pp. 278–283).

  • das Neves, G. P., & Angélico, B. A. (2021). Model-free control of mechatronic systems based on algebraic estimation. Asian Journal of Control, 24, 1575–1584.

    Article  MathSciNet  Google Scholar 

  • di Gaeta, A., Fiengo, G., Palladino, A., & Giglio, V. (2011). Design and experimental validation of a model-based injection pressure controller in a common rail system for GDI engine. In Proceedings of the 2011 American control conference (pp. 5273–5278).

  • di Gaeta, A., Montanaro, U., Fiengo, G., Palladino, A., & Giglio, V. (2012). A model-based gain scheduling approach for controlling the common-rail system for GDI engines. International Journal of Control, 85(4), 419–436.

    Article  MathSciNet  MATH  Google Scholar 

  • Ferrari, A., Mittica, A., Pizzo, P., & Jin, Z. (2018). PID controller modelling and optimization in CR systems with standard and reduced accumulators. International Journal of Automotive Technology, 19, 771–781.

    Article  Google Scholar 

  • Fliess, M., & Join, C. (2008). Intelligent PID controllers. In 2008 16th Mediterranean conference on control and automation (pp. 326–331).

  • Fliess, M., & Join, C. (2009). Model-free control and intelligent PID controllers: Towards a possible trivialization of nonlinear control? IFAC proceedings volumes. 15th IFAC symposium on system identification (Vol. 42, No. (10), pp. 1531–1550).

  • Fliess, M., & Join, C. (2013). Model-free control. International Journal of Control, 86(12), 2228–2252.

    Article  MathSciNet  MATH  Google Scholar 

  • Fliess, M., & Join, C. (2021). An alternative to proportional-integral and proportional integral-derivative regulators: Intelligent proportional-derivative regulators. International Journal of Robust and Nonlinear Control, 32, 9512–9524.

    Article  MathSciNet  Google Scholar 

  • Fliess, M., & Sira-Ramírez, H. (2003). An algebraic framework for linear identification. ESAIM: COCV, 9, 151–168.

    MathSciNet  MATH  Google Scholar 

  • Formentin, S., De Filippi, P., Tanelli, M., & Savaresi, S. M. (2010). Model-free control for active braking systems in sport motorcycles. In IFAC proceedings volumes. 8th IFAC symposium on nonlinear control systems (Vol. 43, No. 14, pp. 873–878).

  • Gédouin, P.-A., Delaleau, E., Bourgeot, J.-M., Join, C., Arbab Chirani, S., & Calloch, S. (2011). Experimental comparison of classical PID and model-free control: Position control of a shape memory alloy active spring. Control Engineering Practice, 19(5), 433–441.

    Article  Google Scholar 

  • Gong, X., Chen, H., Liu, Q., & Hu, Y. (2014). A new procedure to design nonlinear controller for rail pressure control of GDI engines. In 2014 American control conference (pp. 3153–3158).

  • IEA. (2020). Energy technology perspectives. Technical report. International Energy Agency, Paris.

  • Jeong, J.-H., Lee, D.-H., Kim, M., Park, W.-H., Byun, G., & Oh, S.-W. (2017). The study of the electromagnetic robot with a four-wheel drive and applied I-PID system. Journal of Electrical Engineering and Technology, 12, 1634–1640.

    Google Scholar 

  • Join, C., Chaxel, F., & Fliess, M. (2013). Intelligent controllers on cheap and small programmable devices. In 2013 conference on control and fault-tolerant systems (SysTol) (pp. 554–559).

  • Lee, B. J., & Lee, C. H. (2021). Fuel rail pressure control characteristics of a GDI high-pressure fuel pump using a newly developed experimental system controlled with a microcontroller. International Journal of Automotive Technology, 22(2), 489–497.

    Article  Google Scholar 

  • Lino, P., Maione, B., & Rizzo, A. (2007). Nonlinear modelling and control of a common rail injection system for diesel engines. Applied Mathematical Modelling, 31(9), 1770–1784.

    Article  Google Scholar 

  • Liu, Q., Chen, H., Hu, Y., Sun, P., & Li, J. (2014). Modeling and control of the fuel injection system for rail pressure regulation in GDI engine. IEEE/ASME Transactions on Mechatronics, 19(5), 1501–1513.

    Article  Google Scholar 

  • Liu, Q., Gong, X., Chen, H., Xin, B., & Sun, P. (2015). Nonlinear GDI rail pressure control: Design, analysis and experimental implementation. In 2015 34th Chinese control conference (CCC) (pp. 8132–8139).

  • Liu, Q., Gong, X., Hu, Y., & Chen, H. (2013). Active disturbance rejection control of common rail pressure for gasoline direct injection engine. In 2013 American control conference (pp. 2202–2207).

  • Liu, Q., Hong, J., Gao, B., & Chen, H. (2019). Introduction to the benchmark challenge on common rail pressure control of gasoline direct injection engines. Control Theory and Technology, 17, 167–175.

    Article  Google Scholar 

  • Mboup, M., Join, C., & Fliess, M. (2009). Numerical differentiation with annihilators in noisy environment. Numerical Algorithms, 50(4), 439–467.

    Article  MathSciNet  MATH  Google Scholar 

  • Moraes, M. S., & da Silva, P. S. P. (2015a). Algebraic derivative estimation and applications in adaptive control of magnetic levitation systems. In 23rd ABCM international congress of mechanical engineering.

  • Moraes, M. S., & da Silva, P. S. P. (2015b). Model-free control of magnetic levitation systems through algebraic derivative estimation. In 23rd ABCM international congress of mechanical engineering.

  • Moreno-Gonzalez, M., Artuñedo, A., Villagra, J., Join, C., & Fliess, M. (2022). Speed-adaptive model-free lateral control for automated cars. In Joint 8th IFAC symposium on system structure and control, 17th IFAC workshop on time delay systems, 5th IFAC workshop on linear parameter varying systems, Montreal, Canada.

  • Othmane, A., Rudolph, J., & Mounier, H. (2021). Systematic comparison of numerical differentiators and an application to model-free control. European Journal of Control, 62, 113–119. (2021 European Control Conference Special Issue).

    Article  MathSciNet  MATH  Google Scholar 

  • Polack, P., Delprat, S., & d’Andréa Novel, B. (2019). Brake and velocity model-free control on an actual vehicle. Control Engineering Practice, 92, 104072.

    Article  Google Scholar 

  • Sancak, C., Yamac, F., Itik, M., & Alici, G. (2021). Force control of electro-active polymer actuators using model-free intelligent control. Journal of Intelligent Material Systems and Structures, 32(17), 2054–2065.

    Article  Google Scholar 

  • Su, H., Hao, G., Li, P., & Luo, X. (2010). Feed forward fuzzy PID controller for common-rail pressure control of diesel engine. In 2010 international conference on measuring technology and mechatronics automation (Vol. 2, pp. 264–267).

  • Tiexiong, H., & Shilun, G. (2009). Adaptive fuzzy sliding mode control of the common rail diesel injection system. In 2009 2nd international conference on power electronics and intelligent transportation system (PEITS) (Vol. 1, pp. 161–165).

  • Wang, H., Zheng, D., & Tian, Y. (2016). High pressure common rail injection system modeling and control. ISA Transactions, 63, 265–273.

    Article  Google Scholar 

  • Yue, G., Qiu, T., Dai, H., Lei, Y., & Zhao, N. (2018). Rail pressure control strategy based on pumping characteristics for the common rail fuel system. Advances in Mechanical Engineering, 10(9), 1–11.

    Article  Google Scholar 

  • Zhang, C., Zhang, Y., Chai, C., & Zhou, M. (2019). Terminal sliding mode control of rail pressure for gasoline direct injection engines. Control Theory and Technology, 17, 183–189.

    Article  MathSciNet  Google Scholar 

  • Zhang, X., Wang, H., Tian, Y., Peyrodie, L., & Wang, X. (2018). Model-free based neural network control with time-delay estimation for lower extremity exoskeleton. Neurocomputing, 272, 178–188.

    Article  Google Scholar 

  • Zhang, Z., Xie, L., & Su, H. (2019). Rail pressure controller design of GDI basing on predictive functional control. Control Theory and Technology, 17(2), 176–182.

    Article  MathSciNet  Google Scholar 

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Correspondence to Amauri Dias Carvalho.

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Carvalho, A.D., Angélico, B.A. & Laganá, A.A.M. Model-Free Control for High Pressure in a Direct Injection System. J Control Autom Electr Syst 34, 689–699 (2023). https://doi.org/10.1007/s40313-023-01008-2

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