Super-Twisting Algorithm-Based Sliding-Mode Observer for Synchronization of Nonlinear Incommensurate Fractional-Order Chaotic Systems Subject to Unknown Inputs

This paper deals with the design of super-twisting algorithm-based sliding-mode observer for uncertain nonlinear fractional-order system subject to unknown inputs. Fractional-order super-twisting algorithms (FSTA) are proposed for both commensurate and incommensurate fractional-order nonlinear syste...

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Bibliographic Details
Published inArabian journal for science and engineering (2011) Vol. 42; no. 7; pp. 3065 - 3075
Main Authors Al-Saggaf, Ubaid Muhsen, Bettayeb, Maamar, Djennoune, Said
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2017
Springer Nature B.V
Subjects
Algorithms
Chaos theory
Convergence
Design engineering
Dynamical systems
Engineering
Humanities and Social Sciences
Mathematical analysis
multidisciplinary
Nonlinear dynamics
Observers
Research Article - Systems Engineering
Robustness
Science
Sliding
Time synchronization
Twisting
Sliding modes
Super-twisting algorithm
Unknown input observer
Chaotic synchronization
Fractional-order nonlinear system
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ISSN2193-567X
1319-8025
2191-4281
DOI10.1007/s13369-017-2548-5

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Summary:This paper deals with the design of super-twisting algorithm-based sliding-mode observer for uncertain nonlinear fractional-order system subject to unknown inputs. Fractional-order super-twisting algorithms (FSTA) are proposed for both commensurate and incommensurate fractional-order nonlinear systems. Then, step-by-step sliding-mode observers based on the FSTA are designed. Finite-time convergence and robustness are proven. Finally, application to the synchronization of two fractional-order chaotic systems is given.
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ISSN:2193-567X
1319-8025
2191-4281
DOI:10.1007/s13369-017-2548-5