Advanced control systems require accurate process models, while processes are often both nonlinear and time variant. After introducing the identification of nonlinear processes with grid-based look-up tables, a new learning algorithm for on-line adaptation of look-up tables is proposed. Using a linear regression approach, this new adaptation algorithm considerably reduces the convergence time in relation to conventional gradient-based adaptation algorithms. An application example and experimental results are shown for the learning feedforward control of the ignition angle of a spark ignition engine.

1.
Nelles, O., 2000, Nonlinear System Identification, Springer-Verlag, Berlin.
2.
Brown, M., and Harris, C., 1994, Neurofuzzy Adaptive Modelling and Control. Prentice Hall, New York.
3.
Isermann, R., 1992, Identifikation dynamischer Systeme, volume 1, Springer-Verlag, Berlin, 2nd ed.
4.
Heiss
,
M.
,
1996
, “
Error-Minimizing Dead-Zone for Basis Function Networks
,”
IEEE Trans. Neural Netw.
,
7
(
6
), pp.
1503
1506
.
5.
Ljung, L., 1999, System Identification: Theory for the user. Prentice Hall Information and System Sciences Series, Prentice-Hall, Englewood Cliffs, NJ, 2nd ed.
6.
Strejc
,
V.
,
1980
, “
Least Squares Parameter Estimation
,”
Automatica
,
16
, pp.
535
550
.
7.
Golub, G. H., and van Loan, C. F., 1996, Matrix Computations, The Johns Hopkins University Press, Baltimore, 3rd ed.
8.
Kaminski
,
P. G.
,
Bryson
,
A. E.
, and
Schmidt
,
S. F.
,
1971
, “
Discrete Square Root Filtering. A Survey of Current Techniques
,”
IEEE Trans. Autom. Control
,
AC-16
, pp.
727
735
.
9.
Anastasia, Ch. M., and Pestana, G. W., 1987, “A Cylinder Pressure Sensor for Closed Loop Engine Control (no. 870288),” in SAE Technical Paper Series.
10.
Herden, W., and Ku¨sell, M., 1994, “A New Combustion Pressure Sensor for Advanced Engine Management (no. 940379),” in SAE Technical Paper Series.
11.
Inoue, T., Matsushita, S., Nakanishi, K., and Okano, H., 1993, “Toyota Lean Combustion System—the Third Generation System (no. 930873),” in SAE Technical Paper Series.
12.
Bargende
,
M.
,
1995
, “
Most Optimal Location of 50% Mass Fraction Burned and Automatic Knock Detection Components for Automatic Optimization of SI-Engine Calibrations
,”
MTZ Worldwide
,
56
(
10
), pp.
632
638
.
13.
Matekunas, F. A., 1986, “Engine Combustion Control With Ignition Timing by Pressure Ratio Management,” U.S. Patent, 4,622,939.
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