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

Fuente: arXiv
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Main Author: Alamir, Mazen
Format: Preprint
Published: 2025
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author Alamir, Mazen
author_facet Alamir, Mazen
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_01638
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On polynomial explicit partial estimator design for nonlinear systems with parametric uncertainties
Alamir, Mazen
Systems and Control
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.
title On polynomial explicit partial estimator design for nonlinear systems with parametric uncertainties
topic Systems and Control
url https://arxiv.org/abs/2511.01638