Zonotope-based fault estimation for Lipschitz nonlinear systems

Abstract An estimation of fault intervals using a T-N-L structured observer is suggested for Lipschitz nonlinear systems. By augmenting state vectors, the augmentation system and its observer are established, enabling the observer to concurrently estimate fault and system states. The L ∞ performance is applied to enhance the resilience of the fault interval estimation to external disturbances and unanticipated inputs. An adequate requirement for the observer design is also presented. The interval estimation of states and faults is ultimately created by using a zonotope. The proposed method exhibits advantages and feasibility when compared to existing simulation techniques.

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Publication Details

Journal
Journal of Physics Conference Series
Published
2025-03-01
DOI
https://doi.org/10.1088/1742-6596/2977/1/012071
Primary Topic
Fault Detection and Control Systems
Type
article
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article

Zonotope-based fault estimation for Lipschitz nonlinear systems

Sheng Gao, Wei Zhang, Qiang Jiang, Siyuan Ma
Journal of Physics Conference Series
Fault Detection and Control Systems
article

Zonotope-based fault estimation for Lipschitz nonlinear systems

Sheng Gao, Wei Zhang, Qiang Jiang, Siyuan Ma
article en

Abstract

Abstract An estimation of fault intervals using a T-N-L structured observer is suggested for Lipschitz nonlinear systems. By augmenting state vectors, the augmentation system and its observer are established, enabling the observer to concurrently estimate fault and system states. The L ∞ performance is applied to enhance the resilience of the fault interval estimation to external disturbances and unanticipated inputs. An adequate requirement for the observer design is also presented. The interval estimation of states and faults is ultimately created by using a zonotope. The proposed method exhibits advantages and feasibility when compared to existing simulation techniques.

Journal of Physics Conference SeriesVol. 2977(1)
Shenyang Ligong University (CN), Shenyang Institute of Automation (CN), Chinese Academy of Sciences (CN), Advanced Space Technology Research (United States) (US)
Openalex Percentile: Top 95%
Fault Detection and Control Systems
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Zonotope-based fault estimation for Lipschitz nonlinear systems — Sheng Gao, Wei Zhang, et al. · Journal of Physics Conference Series (2025) | TGRS Research Map | TGRS