Linear Robust Control of Identified Nonlinear Inverse Compensated SI Engine

[+] Author and Article Information
A. P. Petridis, A. T. Shenton

Department of Engineering, University of Liverpool, P.O. Box 147, Liverpool L69 3BX, UK

J. Dyn. Sys., Meas., Control 125(1), 69-73 (Mar 10, 2003) (5 pages) doi:10.1115/1.1542640 History: Received February 01, 2001; Revised July 01, 2002; Online March 10, 2003
Copyright © 2003 by ASME
Your Session has timed out. Please sign back in to continue.


Hrovat,  D., and Sun,  J., 1997, “Models and Control Methodologies for IC Engine Idle Speed Control Design,” Control Eng. Pract., 5(8), pp. 1093–1100.
Nicolao,  G. D., Rossi,  C., Scattolini,  R., and Suffritti,  M., 1999, “Identification and Idle Speed Control of Internal Combustion Engines,” Control Eng. Pract., 7, pp. 1061–1069.
Horowitz,  I., 1981, “Improvement in Quantitative Non-linear Feedback Design by Cancellation,” Int. J. Control, 34, pp. 547–560.
Petridis,  A. P., and Shenton,  A. T., 2000, “Non-linear Inverse Compensation of an SI Engine by System Identification for Robust Performance Control,” Inverse Prob. in Eng., 8, pp. 163–176.
Dorey, R. E., Maclay, D., Shenton, A. T., and Shafiei, Z., 1995, “Advanced Powertrain Control Strategies,” IFAC Workshop on Automotive Control, Ascona, Switzerland, pp. 144–149.
Hariri, B., 1996, “Modeling and Identification of SI Engines for Control System Design,” Ph.D. thesis, Liverpool University.
Hariri,  B., Shenton,  A. T., and Dorey,  R. E., 1998, “Parameter Identification, Estimation and Dynamometer Validation of the Non-linear Dynamics of an Automotive Spark-Ignition Engine,” J. Vib. Control, 4(1), pp. 47–59.
Detchmendy,  D. M., and Sridhar,  R., 1966, “Sequential Estimation of States and Parameters in Noisy Nonlinear Dynamical Systems,” ASME J. Basic Eng., 88(2), pp. 362–368.
Cambridge Control, 1994, Nonlinear Identification Toolbox, Cambridge Control Limited.
Diop,  S., 1991, “Elimination in Control Theory,” Math. Control Signals Systems, 4, pp. 17–32.
Ritt, J. F., 1932, Differential Equations From the Algebraic Standpoint, American Mathematical Society, New York.
Seidenberg, A., 1946, “An Elimination Theory for Differential Algebra,” Univ. California Publ. Math. (N.S.), 3 pp. 31–56.
Forsman, K., 1992, “Elementary Aspects of Constructive Commutative Algebra,” Dept. of Electrical Engineering, Linköping Univ., Sweden.
Buchberger,  B., 1970, “Ein Algorithmisches Kriterium für die Lösbarkeit eines Algebraischen Gleichungssystems,” Aequ. Math., 4, pp. 347–383.
Buchberger, B., 1985, “Gröbner Bases: An Algorithmic Method in Polynomial Theory,” In Multidimensional Systems Theory, N. K. Bose ed., Dordrecht Reidel, pp. 184–232.
Petridis, A. P., and Shenton, A. T., 2002, “Linear Robust Control of Identified Input-Output Non-linear Inverse Compensated SI Engine,” Univ. of Liverpool, Dept. of Engineering Powertrain Control Group: Report No. MES/ATS/INT/040/2002, May.
Petridis, A. P., 2000, “Non-linear Robust Control of S.I. Engines.” Ph.D. thesis, Liverpool Univ.
Besson,  V., and Shenton,  A. T., 1999, “An Interactive Parameter Space Method for Robust Performance in Mixed Sensitivity Problems,” IEEE Trans. Autom. Control, 44(6), pp. 1272–1276.
Shenton, A. T., and Besson, V., 2000, “Robust Performance S. I. Engine Idle-Speed Control by a Mixed-Sensitivity Parameter Space Method,” 3rd IFAC Symp. on Robust Control Design.
Sandberg,  I. W., 1964, “A Frequency-Domain Condition for the Stability of Feedback Systems Containing a Single Time-Varying Nonlinear Element,” Bell Syst. Tech. J., 43, pp. 1601–1608.


Grahic Jump Location
Open-loop test filter and inverse compensation
Grahic Jump Location
Comparing the VM of uncertainty disks with (bottom) and without (top) nonlinear inverse compensation
Grahic Jump Location
Automotive SISO idle speed control system
Grahic Jump Location
Nyquist plot of the loop function for the system without inverse compensation
Grahic Jump Location
Nyquist plot of the loop function for the inverse compensated system
Grahic Jump Location
Comparison of the engine time response with and without the inverse compensation
Grahic Jump Location
Engine time response with γ=1.3
Grahic Jump Location
Engine time response with γ=2 and τ=5Ts



Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In