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Prescribed-Time Observer Is Naturally Robust Against Disturbances and Unmodeled Dynamics

Abedou, Abdelhadi and Mameche, Omar LU (2026) In IEEE Control Systems Letters 10. p.205-210
Abstract

This letter addresses the robustness of a prescribed-time observer for a class of nonlinear systems in the presence of disturbances and unmodeled dynamics. It is proven and demonstrated through simulations that the proposed observer completely rejects the effects of large bounded disturbances and unmodeled dynamics, enabling accurate estimation of both the states and the disturbances. Furthermore, a comparison with the standard high-gain observer is provided to highlight the superiority of the prescribed-time observer in reducing the peaking phenomenon and improving estimation accuracy.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Lyapunov methods, Observers for nonlinear systems, Uncertain systems
in
IEEE Control Systems Letters
volume
10
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:105036232621
ISSN
2475-1456
DOI
10.1109/LCSYS.2026.3682351
language
English
LU publication?
yes
id
5acb1dea-a79b-4f23-a4ee-684d43676cdd
date added to LUP
2026-06-29 11:25:38
date last changed
2026-06-29 11:26:41
@article{5acb1dea-a79b-4f23-a4ee-684d43676cdd,
  abstract     = {{<p>This letter addresses the robustness of a prescribed-time observer for a class of nonlinear systems in the presence of disturbances and unmodeled dynamics. It is proven and demonstrated through simulations that the proposed observer completely rejects the effects of large bounded disturbances and unmodeled dynamics, enabling accurate estimation of both the states and the disturbances. Furthermore, a comparison with the standard high-gain observer is provided to highlight the superiority of the prescribed-time observer in reducing the peaking phenomenon and improving estimation accuracy.</p>}},
  author       = {{Abedou, Abdelhadi and Mameche, Omar}},
  issn         = {{2475-1456}},
  keywords     = {{Lyapunov methods; Observers for nonlinear systems; Uncertain systems}},
  language     = {{eng}},
  pages        = {{205--210}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Control Systems Letters}},
  title        = {{Prescribed-Time Observer Is Naturally Robust Against Disturbances and Unmodeled Dynamics}},
  url          = {{http://dx.doi.org/10.1109/LCSYS.2026.3682351}},
  doi          = {{10.1109/LCSYS.2026.3682351}},
  volume       = {{10}},
  year         = {{2026}},
}