Data-Driven Observers Design for Descriptor Systems

Fuente: arXiv
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Autori principali: Zhang, Yuan, Wang, Yu, Huang, Keke, Sun, Zhongqi, Fernando, Tyrone
Natura: Preprint
Pubblicazione: 2026
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author Zhang, Yuan
Wang, Yu
Huang, Keke
Sun, Zhongqi
Fernando, Tyrone
author_facet Zhang, Yuan
Wang, Yu
Huang, Keke
Sun, Zhongqi
Fernando, Tyrone
contents State estimation constitutes a core task in monitoring, supervision, and control of dynamic systems. This paper proposes a data-driven framework for the design of state observers for descriptor systems. Necessary and sufficient conditions for the existence of a standard state observer are derived purely from data under mild assumptions. When the system is subject to unknown inputs, we further extend the framework to the data-driven design method for full-order unknown input observer (UIO). Notably, for both the standard state observer and the UIO, we establish the mathematical equivalence between the proposed data-driven existence conditions and classical model-based ones. Moreover, the data-driven approach is applied to the design of extended state observers, enabling simultaneous estimation of system states and disturbances via system augmentation. Numerical simulations validate the effectiveness of the proposed methods.
format Preprint
id arxiv_https___arxiv_org_abs_2604_11345
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Data-Driven Observers Design for Descriptor Systems
Zhang, Yuan
Wang, Yu
Huang, Keke
Sun, Zhongqi
Fernando, Tyrone
Systems and Control
State estimation constitutes a core task in monitoring, supervision, and control of dynamic systems. This paper proposes a data-driven framework for the design of state observers for descriptor systems. Necessary and sufficient conditions for the existence of a standard state observer are derived purely from data under mild assumptions. When the system is subject to unknown inputs, we further extend the framework to the data-driven design method for full-order unknown input observer (UIO). Notably, for both the standard state observer and the UIO, we establish the mathematical equivalence between the proposed data-driven existence conditions and classical model-based ones. Moreover, the data-driven approach is applied to the design of extended state observers, enabling simultaneous estimation of system states and disturbances via system augmentation. Numerical simulations validate the effectiveness of the proposed methods.
title Data-Driven Observers Design for Descriptor Systems
topic Systems and Control
url https://arxiv.org/abs/2604.11345