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Learning-based model augmentation with LFRs
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DOI：10.1016/j.ejcon.2025.101304.png)
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Abstract
En 中文
Nonlinear system identification (NL-SI) has proven to be effective in obtaining accurate models for highly complex systems. In particular, recent encoder-based methods for artificial neural network state-space (ANN-SS) models have achieved state-of-the-art performance on various benchmarks, while offering consistency and computational efficiency. Inclusion of prior knowledge of the system can be exploited to increase (i) estimation speed, (ii) accuracy, and (iii) interpretability of the resulting models. This paper proposes an encoder-based model augmentation method that incorporates prior knowledge from first-principles (FP) models. We introduce a novel linear-fractional-representation (LFR) model structure that allows for the unified representation of various augmentation structures including the ones that are commonly used in the literature, and an identification algorithm for estimating the proposed structure together with appropriate initialization methods. The performance and generalization capabilities of the proposed method are demonstrated in the identification of a hardening mass–spring-damper system simulation case study and the Bouc-Wen nonlinear system identification benchmark.
Keywords:
nonlinear system identification
encoder-based models
prior knowledge incorporation
linear-fractional-representation
state-space models
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