On polynomial explicit partial estimator design for nonlinear systems with parametric uncertainties

Mazen Alamir

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arXiv · 2511.01638

On polynomial explicit partial estimator design for nonlinear systems with parametric uncertainties

Mazen Alamir

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Abstract

This paper investigates the idea of designing data-driven partial estimators for nonlinear systems showing parametric uncertainties using sparse multivariate polynomial relationships. A general framework is first presented and then validated on two illustrative examples with comparison to different possible Machine/Deep-Learning based alternatives. The results suggests the superiority of the proposed sparse identification scheme, at least when the learning data is small.

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Mazen Alamir. 2025-11-03. On polynomial explicit partial estimator design for nonlinear systems with parametric uncertainties. https://arxiv.org/abs/2511.01638

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