doi: 10.17586/2226-1494-2015-15-4-623-631

# AN ALGORITHM OF ADAPTIVE TORQUE CONTROL IN INJECTOR INTERNAL COMBUSTION ENGINE

D. N. Gerasimov, M. V. Lyzlova, F. L. Mogilevtsev, V. O. Nikiforov

Article in Russian

For citation: Gerasimov D.N., Lyzlova M.V., Mogilevtsev F.L., Nikiforov V.O. An algorithm of adaptive torque control in injector internal combustion engine. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2015, vol.15, no. 4, pp. 623–631.

Abstract

Subject of Research. Internal combustion engine as a plant is a highly nonlinear complex system that works mostly in dynamic regimes in the presence of noise and disturbances. A number of engine characteristics and parameters is not known or known approximately due to the complex structure and multimode operating of the engine. In this regard the problem of torque control is not trivial and motivates the use of modern techniques of control theory that give the possibility to overcome the mentioned problems. As a consequence, a relatively simple algorithm of adaptive torque control of injector engine is proposed in the paper. Method. Proposed method is based on nonlinear dynamic model with parametric and functional uncertainties (static characteristics) which are suppressed by means of adaptive control algorithm with single adjustable parameter. The algorithm is presented by proportional control law with adjustable feedback gain and provides the exponential convergence of the control error to the neighborhood of zero equilibrium. It is shown that the radius of the neighborhood can be arbitrary reduced by the change of controller design parameters. Main Results. A dynamical nonlinear model of the engine has been designed for the purpose of control synthesis and simulation of the closed-loop system. The parameters and static functions of the model are identified with the use of data aquired during Federal Test Procedure (USA) of Chevrolet Tahoe vehicle with eight cylinders 5,7L engine. The algorithm of adaptive torque control is designed, and the properties of the closed-loop system are analyzed with the use of Lyapunov functions approach. The closed-loop system operating is verified by means of simulation in the MatLab/Simulink environment. Simulation results show that the controller provides the boundedness of all signals and convergence of the control error to the neighborhood of zero equilibrium despite significant variations of engine speed. The radius of the neighborhood is far less than required level of 20 N×m that affords ground for practical implementation of the algorithm. Practical Relevance. The proposed algorithm is recommended for application in the practical problem of torque control in injector and other types of ICE.

Keywords: adaptive control, nonlinear system, injector engine, engine torque.

Acknowledgements. This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), the Russian Ministry of Education and Science (project 14.Z50.31.0031).

References

1. Dvigateli Vnutrennego Sgoraniya. Kn. 1. Teoriya Rabochikh Protsessov [Internal Combustion Engines. Book 1. Theory of Workflows]. Eds. V.N. Lukanin, M.G. Shatrov. Moscow, Vysshaya ShkolaPubl., 2005,479 p.

2. Gerasimov D.N., Nikiforov V.O., Javaherian H., Efimov D.V. Injection engine as a control object. I. Schematic diagram of the engine and synthesis of a mathematical model. Journal of Computer and Systems Sciences International, 2010, vol. 49, no. 5, pp. 811–822. doi: 10.1134/S1064230710050151

3. Stefanopoulou A.G., Grizzle J.W., Freudenberg J.S. Engine air-fuel ratio and torque control using secondary throttles. Proc. of IEEE Conf. on Decision and Control, 1994, vol. 3, pp. 2748–2753.

4.Jankovic M., Frischmuth F., Stefanopoulou A., Cook J.A. Torque management of engines with variable cam timing. IEEE Control Systems Magazine,1998, vol. 18, no. 5, pp. 34–42.doi: 10.1109/37.722251

5. Jankovic M., Magner M., Hsieh S., Koncsol J. Transient effects and torque control of engines with variable cam timing. Proceedingsof the American Control Conference,2000,vol. 1, pp. 50–54.

6. Karnik A.Y., Buckland J.H., Freudenberg J.S. Electronic throttle and wastegate control for turbocharged gasoline engines. Proceedingsof the American Control Conference,2005,vol. 7, pp. 4434–4439.

7.Ali A., Blath J.P. Nonlinear torque control of a spark-ignited engine. Proceedingsof the American Control Conference,2006, pp. 3266–3271.

8. Ali A., Blath J.P. Application of modern techniques to SI-engine torque control. Proc. of the IEEE International Conf. on Control Applications. Munich, Germany, 2006, pp. 2405–2410. doi: 10.1109/CACSD-CCA-ISIC.2006.4777017

9.Hong M., Ouyang M., Shen T., Li J. Model-based PI feedback control of engine torque. IEEE International Conference on Control and Automation. Xiamen, China, 2010, pp. 12–15. doi: 10.1109/ICCA.2010.5524184

10.Kolmanovsky I.V., Druzhinina M., Sun J. Speed-gradient approach to torque and air-to-fuel ratio control in DISC engines. IEEE Transactions on Control Systems Technology, 2002, vol. 10, no. 5, pp. 671–678. doi: 10.1109/TCST.2002.801803

11.Hong M., Shen T., Ouyang M. Nonlinear observer-based torque control for SI engine. Proc. ICROS-SICE International Joint Conference.Fukuoka, Japan,2009, pp. 4114–4119.

12.Vermillion C., Butts K., Reidy K. Model predictive engine torque control with real-time driver-in-the-loop simulation results. Proceedings of the 2010 American Control Conference. Baltimore, USA, 2010, pp.1459–1464.

13.Sakai Y., Kanai M., Yamakita M. Torque demand control by nonlinear MPC with constraints for vehicles with variable valve lift engine. Proceedings of the IEEE International Conference on Control Applications. Yokohama, Japan, 2010, pp. 1642–1647. doi: 10.1109/CCA.2010.5611240

14.Javaherian H., Liu D., Kovalenko O. Automotive engine torque and air-fuel ratio control using dual heuristic dynamic programming. IEEE International Conference on Neural Networks. Vankuver, Canada, 2006, art. 1716137, pp. 518–525.

15.Zweiri Y.H., Seneviratne L.D. Diesel engine indicated torque estimation based on artificial neural networks. Proc. IEEE/ACS Int. Conf. on Computer Systems and Application, AICCSA 2007. Amman, Jordan, 2007, art. 4231051, pp. 791–798. doi: 10.1109/AICCSA.2007.370723

16.Huang K., Wang S., Jin Z., Jiang D. Feedforward method of engine torque estimation. IEEE International Conference on Vehicular Electronics and Safety, ICVES. Shanghai, China, 2006, pp. 246–249. doi: 10.1109/ICVES.2006.371592

17.Nagata T., Tomizuka M. Robust engine torque control by iterative learning control. Proceedings of the American Control Conference,2009,pp. 2064–2069.doi: 10.1109/ACC.2009.5159841

18.Kolyubin S.A., Nikiforov V.O., Bobtsov A.A., Efimov D.V. Two-channel adaptive hybrid control of the air-to-fuel ratio and torque of automobile engines. Automation and Remote Control, 2012, vol. 73, no. 11, pp. 1794–1807. doi: 10.1134/S0005117912110033

19.Gerasimov D.N., Kolyubin S.A., Nikiforov V.O. Adaptive air-to-fuel ratio and torque control of injector internal combustion engines. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2009, no. 1 (59), pp. 14–21. (in Russian)

20.Gerasimov D.N., Javaherian H., Efimov D.V., Nikiforov V.O. Injection engine as a control object. II. Problems of automatic control of the engine. Journal of Computer and Systems Sciences International, 2010, vol. 49, no. 6, pp. 998–1008. doi: 10.1134/S1064230710060183

21.Gerasimov D.N., Nikiforov V.O. Adaptive torque control in injector internal combustion engines. Mehatronika, Avtomatizacia, Upravlenie, 2013, no. 3, pp. 47–55. (in Russian)

22.Gerasimov D.N., Nikiforov V.O., Paramonov A.V., Serov D.S. Adaptive control of torque in fuel-injection internal combustion engine with variable valve timing. Izv. vuzov. Priborostroenie, 2014, vol. 57, no. 12, pp. 28–33. (in Russian)

23.Nikiforov V.O., Gerasimov D.N. Analysis and synthesis of complex systems adaptive stabilizing controller of a simple structure. Scientific and Technical Journal of Information Technologies, Mechanics and Optics,2012, no. 5 (81), pp. 48–52. (in Russian)

24.Gerasimov D.N., Nikiforov V.O. Simple adaptive output control of linear systems. Proc. IEEE Int. Conf. on Intelligent Control, ISIC 2014. Juan Les Pins, France, 2014, pp. 566–571. doi: 10.1109/ISIC.2014.6967606

25.Ginoux S., Champoussin J. Engine torque determination by crankangle measurements: state of the art, future prospects. SAE Technical Paper, 1997, report 970532. doi: 10.4271/970532

26.Park S., Sunwoo M. Torque estimation of spark ignition engines via cylinder pressure measurement. Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 2003, vol. 217, no. 9, pp. 809−817.