Uncertainty Quantification Methods for Optimal Excitation Design in Parameter Identification
Abstract
Parameter identification is crucial in virtual engineering processes, yet determining appropriate system excitations for identifying specific parameters remains challenging. In practice, extensive experimental programs often fail to generate data with sufficient information content for reliable parameter estimation. This work presents a systematic approach for deriving optimal excitations by maximizing the global sensitivity of target parameters across the space of possible excitation functions. To address the computational challenge of sensitivity evaluation during optimization, we develop two complementary approaches based on uncertainty quantification (UQ) methods. For systems with known mathematical structure, we present an intrusive polynomial chaos expansion (PCE) method that constructs deterministic surrogate models, enabling rapid sensitivity computation. For black-box models where intrusive approaches are not feasible, we introduce a novel non-intrusive method based on optimal transport theory, specifically using Wasserstein distances to quantify sensitivity measures without requiring knowledge of internal system dynamics. Both methods significantly reduce computational costs, making optimal excitation design practical for complex engineering systems. We demonstrate the effectiveness of both approaches on vehicle dynamics models, showing substantial improvements in parameter identification capability. The benefit for parameter identification is further validated experimentally on a test vehicle and compared to the state of the art.
Versions
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BibTeX
@misc{schmidt2026uncertainty,
title = {{Uncertainty Quantification Methods for Optimal Excitation Design in Parameter Identification}},
author = {Kevin Schmidt and Nicola Henkelmann and Christoph Mark and Johannes von Keler},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.04691},
eprint = {2605.04691},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.04691},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Uncertainty Quantification Methods for Optimal Excitation Design in Parameter Identification
AU - Kevin Schmidt
AU - Nicola Henkelmann
AU - Christoph Mark
AU - Johannes von Keler
PY - 2026
DA - 2026/09/02
PB - arXiv
DO - 10.48550/arxiv.2605.04691
UR - https://arxiv.org/abs/2605.04691
AB - Parameter identification is crucial in virtual engineering processes, yet determining appropriate system excitations for identifying specific parameters remains challenging. In practice, extensive experimental programs often fail to generate data with sufficient information content for reliable parameter estimation. This work presents a systematic approach for deriving optimal excitations by maximizing the global sensitivity of target parameters across the space of possible excitation functions. To address the computational challenge of sensitivity evaluation during optimization, we develop two complementary approaches based on uncertainty quantification (UQ) methods. For systems with known mathematical structure, we present an intrusive polynomial chaos expansion (PCE) method that constructs deterministic surrogate models, enabling rapid sensitivity computation. For black-box models where intrusive approaches are not feasible, we introduce a novel non-intrusive method based on optimal transport theory, specifically using Wasserstein distances to quantify sensitivity measures without requiring knowledge of internal system dynamics. Both methods significantly reduce computational costs, making optimal excitation design practical for complex engineering systems. We demonstrate the effectiveness of both approaches on vehicle dynamics models, showing substantial improvements in parameter identification capability. The benefit for parameter identification is further validated experimentally on a test vehicle and compared to the state of the art.
ER -