Calibration Space Segmentation for High-Dimensional Data Envelopes
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Solution Overview
Problem
Calibrating internal combustion engines and other technical systems is complex due to high-dimensional testing spaces and the computational inefficiency of existing data envelope algorithms, making it difficult to determine whether new control variables lie within the drivability limit, especially in high-dimensional spaces with a large number of data points.
Innovation Solution
Divide the calibration space into smaller sub-calibration spaces, calculating data envelopes of lower dimensions using algorithms like QuickHull, ensuring that the most limiting calibration variables are contained in the first sub-space, and using remaining relationships as further sub-spaces to reduce calculation effort.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If data envelope algorithms are used in high-dimensional calibration spaces, then the drivability limit can be determined, but the computational effort becomes excessively high and inefficient
Solution Approach 1:
The patent divides the high-dimensional calibration space into multiple lower-dimensional sub-calibration spaces. By calculating data envelopes separately in each sub-space and then combining the results, the method maintains the reliability of drivability limit determination while significantly reducing the computational complexity that would otherwise be required for the entire high-dimensional space.
2Measurement precision
If conventional algorithms are used for high-dimensional calibration, then accuracy can be maintained, but calculation time becomes prohibitively long
Solution Approach 1:
The calibration space is segmented into sub-spaces with lower dimensions, allowing conventional algorithms to operate efficiently in each segment. This segmentation preserves measurement precision within each sub-space while reducing the overall calculation time compared to applying conventional algorithms to the entire high-dimensional space.
Solution Approach 2:
The method calculates data envelopes for only the most limiting calibration variables in the first sub-calibration space, and uses remaining relationships as further sub-spaces. This partial action approach maintains sufficient calibration accuracy by focusing computational resources on the most critical variables while reducing total calculation time.
Data Source
AI summary
Various aspects of the present disclosure are directed to, for example, a method for calculating a data envelope while calibrating a technical system. In some specific embodiments, the d-dimensional calibration space, which comprises the calibration variables required for the calibration, is divided into a first sub-calibration space having a dimension dsub<d and at least one further sub-calibration space, and a dsub-dimensional data envelope is calculated at least for the first sub-calibration space using available data points and is checked during the calibration as an auxiliary condition.