Periodic Takagi-Sugeno Observers for Individual Cylinder Spark Imbalance in Idle Speed Control Context

Thomas Laurain, Jimmy Lauber, Reinaldo Palhares

Abstract

This paper aims to present a systematic methodology for designing periodic observers for cyclic nonlinear systems represented by Takagi-Sugeno models. An application to idle speed control of a spark-ignition engine will be proposed. Thanks to the estimated individual cylinder values, we can detect an imbalance of each cylinder (unbalanced cylinder). Based on a dynamic hybrid model, some simulation results will prove the efficiency of our method.

References

  1. Balluchi, A., D'Apice, C., Gaeta, M., Piccoli, B., Sangiovanni Vincentelli, A. L., and Zadarnowska, K. (2010). A hybrid feedback for a benchmark problem of idle speed control. International Journal of Robust and Nonlinear Control 20, 515-530.
  2. Bengea, S. C., Li, X., and DeCarlo, R. A. (2004). Combined Controller-Observer Design for Uncertain Time Delay Systems With Application to Engine Idle Speed Control. Journal of Dynamic Systems, Measurement, and Control 126, 772-780.
  3. Bittanti, S., and Colaneri, P. (2000). Invariant representations of discrete-time periodic systems. Automatica 36, 1777-1793.
  4. Bohn, C., Bohme, T., Staate, A., and Manemann, P. (2006). A nonlinear model for design and simulation of automotive idle speed control strategies. in American Control Conference (IEEE), 3272-3277.
  5. Bolzern, P., Colaneri, P., and Scattolini, R. (1986). Zeros of discrete-time linear periodic systems. IEEE Transactions on Automatic Control 31, 1057-1058.
  6. Di Cairano, S., Yanakiev, D., Bemporad, A., Kolmanovsky, I. V., and Hrovat, D. (2008). An MPC design flow for automotive control and applications to idle speed regulation. in Conference on Decision and Control (IEEE), 5686-5691.
  7. Di Cairano, S., Yanakiev, D., Bemporad, A., Kolmanovsky, I. V., and Hrovat, D. (2011). Model Predictive Idle Speed Control: Design, Analysis, and Experimental Evaluation. IEEE Transactions on Control Systems Technology 20, 84-97.
  8. Chauvin, J., Corde, G., Petit, N., and Rouchon, P. (2007). Periodic input estimation for linear periodic systems: Automotive engine applications. Automatica 43, 971- 980.
  9. Di, N., Kai, S., Junhui, H., and Jiajun, S. (2010). Individual Spark Advance Adjusting in a MultiCylinder Spark Ignition Engine. in International Conference on Electrical and Control Engineering (IEEE), 1192-1195.
  10. Grizzle, J. W., Dobbins, K. L., and Cook, J. A. (1991). Individual cylinder air-fuel ratio control with a single EGO sensor. IEEE Transactions on Vehicular Technology 40, 280-286.
  11. Guerra, T.-M., Kerkeni, H., Lauber, J., and Vermeiren, L. (2012). An efficient Lyapunov function for discrete TS models: observer design. IEEE Transactions on Fuzzy Systems 20, 187-192.
  12. Kerkeni, H., Lauber, J., and Guerra, T. M. (2010). Estimation of Individual In-cynlinder air mass flow via Periodic Observer in Takagi-Sugeno form. in IEEE Vehicle Power and Propulsion Conference (IEEE), 1- 6.
  13. Kerkeni, H., Lauber, J., and Guerra, T.-M. (2009). Some results about stabilization of periodic takagi-sugeno models. in IEEE International Conference on Fuzzy Systems (IEEE), 814-819.
  14. Lendek, Z., Guerra, T.-M., Babuška, R., and De Schutter, B. (2010). Stability analysis and nonlinear observer design using Takagi-Sugeno fuzzy models. Berlin: Springer.
  15. Lendek, Z., Lauber, J., and Guerra, T.-M. (2013a). Periodic Lyapunov functions for periodic TS systems. Systems & Control Letters 62, 303-310.
  16. Lendek, Z., Lauber, J., and Guerra, T. M. (2012). Switching Lyapunov functions for periodic TS systems. in Embedded Systems, Computational Intelligence and Telematics in Control, 102-107.
  17. Lendek, Z., Lauber, J., Guerra, T.-M., and Raica, P. (2013b). On stabilization of discrete-time periodic TS systems. in IEEE International Conference on Fuzzy Systems (IEEE).
  18. De Santis, E., Di Benedetto, M. D., and Pola, G. (2006). Digital idle speed control of automotive engines: A safety problem for hybrid systems. Nonlinear Analysis: Theory, Methods & Applications 65, 1705- 1724.
  19. Shamekhi, A. H., and Ghaffari, A. (2005). Fuzzy control of spark advance by ion current sensing. SAE Technical Paper.
  20. Takagi, T., and Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics, 116-132.
  21. Tanaka, K., and Wang, H. O. (2001). Fuzzy control systems design and analysis a linear matrix inequality approach. New York: Wiley.
  22. Tuan, H. D., Apkarian, P., Narikiyo, T., and Yamamoto, Y. (2001). Parameterized linear matrix inequality techniques in fuzzy control system design. IEEE Transactions on Fuzzy Systems 9, 324-332.
  23. Yildiz, Y., Annaswamy, A., Yanakiev, D., and Kolmanovsky, I. (2007). Adaptive idle speed control for internal combustion engines. in American Control Conference (IEEE), 3700-3705.
  24. Yurkovich, S., and Simpson, M. (1997). Comparative analysis for idle speed control: a crank-angle domain viewpoint. in American Control Conference (IEEE), 278-283.
Download


Paper Citation


in Harvard Style

Laurain T., Lauber J. and Palhares R. (2015). Periodic Takagi-Sugeno Observers for Individual Cylinder Spark Imbalance in Idle Speed Control Context . In Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-122-9, pages 302-309. DOI: 10.5220/0005570803020309


in Bibtex Style

@conference{icinco15,
author={Thomas Laurain and Jimmy Lauber and Reinaldo Palhares},
title={Periodic Takagi-Sugeno Observers for Individual Cylinder Spark Imbalance in Idle Speed Control Context},
booktitle={Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2015},
pages={302-309},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005570803020309},
isbn={978-989-758-122-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 12th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Periodic Takagi-Sugeno Observers for Individual Cylinder Spark Imbalance in Idle Speed Control Context
SN - 978-989-758-122-9
AU - Laurain T.
AU - Lauber J.
AU - Palhares R.
PY - 2015
SP - 302
EP - 309
DO - 10.5220/0005570803020309