CoChat
Sign Up
Cited by 285Stability and Control of Uncertain SystemsAdvanced Control Systems DesignAdaptive Control of Nonlinear Systems

Stability Analysis and Stabilization of Systems Presenting Nested Saturations

Open access
Tarbouriech, S., Prieur, C., Gomes Da Silva, J.M.·2006·IEEE Transactions on Automatic Control
DOI 10.1109/tac.2006.878743
Open this paper in CoChat — free account

Abstract

This note addresses the problems of stability analysis and stabilization of systems presenting nested saturations. Depending on the open-loop stability assumption, the global stability analysis and stabilization problems are considered. In the (local) analysis problem, the objective is the determination of estimates of the basin of attraction of the system. Considering the stabilization problem, the goal is to design a set of gains in order to enlarge the basin of attraction of the closed-loop system. Based on the modelling of the system presenting nested saturations as a linear system with dead-zone nested nonlinearities and the use of a generalized sector condition, linear matrix inequality (LMI) stability conditions are formulated. From these conditions, convex optimization strategies are proposed to solve both problems

Integrity signals

Registry

Crossref · 10.1109/tac.2006.878743

Cites

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • The use of model (2) to describe magnitude and rate saturating actuators can be seen as a particular case of nested saturation [16].

    “As stated by [15] and [14], the use of model (2) to describe magnitude and rate saturating actuators can be seen as a particular case of nested saturation [16].”

    From Sampled-Data Control of LPV Systems With Magnitude and Rate Saturating Actuators (2025) · cites this paper as [16]

Cited by

Sorted by citations

Authors
Tarbouriech, S., Prieur, C., & Gomes Da Silva, J. M.
Affiliations
Centre National de la Recherche Scientifique (FR)
ORCID
Tarbouriech, S.
Venue
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
2006-08
Volume
51
Issue
8
Pages
1364-1371
ISSN
0018-9286 (ISSN-L)
DOI
10.1109/tac.2006.878743
OpenAlex
W1968114261
Cited by
285
References
0
Citations by year
2026: 3 · 2025: 22 · 2024: 16 · 2023: 14 · 2022: 12 · 2021: 8 · 2020: 10 · 2019: 11 · 2018: 15 · 2017: 25 · 2016: 24 · 2015: 17 · 2014: 12 · 2013: 17 · 2012: 13
FWCI
25.92
Type
journal article
Language
en
Open access
Licence
Locations
  • IEEE Transactions on Automatic Control (publishedVersion)
  • Americanae (AECID Library) (submittedVersion, other-oa)
  • Lume (Universidade Federal do Rio Grande do Sul) (submittedVersion, other-oa)
  • LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) (submittedVersion, cc-by-nc-sa)
Topics
  • Physical Sciences › Engineering › Control and Systems Engineering › Stability and Control of Uncertain Systems
  • Physical Sciences › Engineering › Control and Systems Engineering › Advanced Control Systems Design
  • Physical Sciences › Engineering › Control and Systems Engineering › Adaptive Control of Nonlinear Systems
Keywords
nested saturation, nonlinear saturation, dead-zone nonlinearity, global stability analysis, stabilization, linear matrix inequalities, generalized sector condition, convex optimization

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review