Robust Fixed-Time Stability: Application to Sliding-Mode Control

This article deals with robust fixed-time stability and stabilization. First, new global robust fixed-time stability results are proposed for scalar systems by using constant and variable exponent coefficients. Then, they are applied to global robust fixed-time stabilization of a class of uncertain...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 67; no. 2; pp. 1061 - 1066
Main Authors Moulay, Emmanuel, Lechappe, Vincent, Bernuau, Emmanuel, Plestan, Franck
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Institute of Electrical and Electronics Engineers
Subjects
Automatic Control Engineering
Closed loop systems
Computer Science
Control stability
Feedback control
Fixed-time stability
Indexes
Lead
Manifolds
Nonlinear systems
robust control
Robustness
Sliding mode control
Stability criteria
Stabilization
Robust control
Fixed-time stability
Sliding mode control
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Summary:This article deals with robust fixed-time stability and stabilization. First, new global robust fixed-time stability results are proposed for scalar systems by using constant and variable exponent coefficients. Then, they are applied to global robust fixed-time stabilization of a class of uncertain nonlinear second-order systems by using sliding-mode control. All the results are illustrated in simulation.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2021.3069667