On-Line Adaptation of Grid-Based Look-up Tables Using a Fast Linear Regression Technique

Author:

Vogt Michael1,Mu¨ller Norbert2,Isermann Rolf3

Affiliation:

1. Darmstadt University of Technology, Institute of Automatic Control, Laboratory of Control Systems and Process Automation, Landgraf-Georg-Str. 4, D-64283 Darmstadt, Germany

2. Robert Bosch GmbH Gasoline Systems, GS/ENS1, Systems Engineering, Gasoline Direct Injection, P.O. Box 30 02 40, D-70442 Stuttgart, Germany

3. Darmstadt University of Technology, Institute of Automatic Control, Laboratory of Control Systems and Process Automation, Landgraf-Georg-Str., D-64283 Darmstadt, Germany

Abstract

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.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference13 articles.

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.

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