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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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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Abstract 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.
AbstractList 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.
Author Moulay, Emmanuel
Bernuau, Emmanuel
Lechappe, Vincent
Plestan, Franck
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  orcidid: 0000-0001-8687-884X
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  fullname: Moulay, Emmanuel
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  organization: XLIM (UMR CNRS 7252), Université de Poitiers, Poitiers Cedex 9, France
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  givenname: Vincent
  orcidid: 0000-0002-0341-1660
  surname: Lechappe
  fullname: Lechappe, Vincent
  email: lechappe.vincent@gmail.com
  organization: Ampère (UMR CNRS 5005), INSA Lyon, Villeurbanne, France
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  givenname: Emmanuel
  orcidid: 0000-0001-9533-9864
  surname: Bernuau
  fullname: Bernuau, Emmanuel
  email: emmanuel.bernuau@agroparistech.fr
  organization: GENIAL (UMR INRA 1145), AgroParisTech, Massy Cedex, France
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  givenname: Franck
  orcidid: 0000-0001-8971-5106
  surname: Plestan
  fullname: Plestan, Franck
  email: franck.plestan@ec-nantes.fr
  organization: LS2N (UMR CNRS 6004), Ecole Centrale de Nantes, Nantes Cedex 3, France
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Snippet This article deals with robust fixed-time stability and stabilization. First, new global robust fixed-time stability results are proposed for scalar systems by...
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SubjectTerms 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
Title Robust Fixed-Time Stability: Application to Sliding-Mode Control
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