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

[+] Author and Article Information
Michael Vogt

Darmstadt University of Technology, Institute of Automatic Control, Laboratory of Control Systems and Process Automation, Landgraf-Georg-Str. 4, D-64283 Darmstadt, Germanye-mail: mvogt@iat.tu-darmstadt.de

Norbert Müller

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

Rolf Isermann

Darmstadt University of Technology, Institute of Automatic Control, Laboratory of Control Systems and Process Automation, Landgraf-Georg-Str., D-64283 Darmstadt, Germanye-mail: risermann@iat.tu-darmstadt.de

J. Dyn. Sys., Meas., Control 126(4), 732-739 (Mar 11, 2005) (8 pages) doi:10.1115/1.1849241 History: Received October 21, 2004; Revised December 21, 2004; Online March 11, 2005
Copyright © 2004 by ASME
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General structure of a LFFC (learning feedforward controller) for the process P
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Grid-based placement of the interpolation nodes of a two-dimensional look-up table
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Areas for interpolation within a two-dimensional look-up table
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Some exemplary basis functions Φk,l of a 5×5 look-up table with equidistant grid
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Estimation of interpolation nodes’ heights from measurement data: arbitrarily positioned measurement data points (upper diagram) and estimated look-up table (lower diagram)
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Flow chart of the modified RLS algorithm
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Look-up table optimized by different algorithms
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Sum-squared-errors for different values of np
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Pressure volume diagram of an ideal constant-volume combustion cycle
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Approximation of MFB in comparison to thermodynamic analysis. The location of 50% MFB is to be controlled by appropriate settings of the point of ignition.
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Upper diagram: measured cylinder pressure signals and reconstructed polytrope. Lower diagram: calculated crank angle locations of 50% MFB at nmot=3000 rpm and 50% load.
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Structure of the adaptive feedforward ignition control system (other inputs and outputs of engine control are not shown here)
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Control performance of the ignition control system during three equivalent load changes. The adaptive look-up table is initialized with zero; after 50 s the adaptive feedforward control is activated.
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Conventional ignition map (upper diagram) and adaptive offset map (lower diagram) of the second cylinder after a training sequence




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