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

被引:0
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作者
Ubaid Muhsen Al-Saggaf
Maamar Bettayeb
Said Djennoune
机构
[1] King Abdulaziz University,Center of Excellence in Intelligent Engineering Systems (CEIES)
[2] King Abdulaziz University,Electrical and Computer Engineering Department
[3] King Abdulaziz University,Department of Electrical and Computer Engineering, University of Sharjah, UAE Distinguished Adjunct Professor, Center of Excellence Intelligent Systems (CEIES)
[4] University Mouloud Mammeri,Laboratoire de Conception et Conduite des Systemes de Production
关键词
Fractional-order nonlinear system; Sliding modes; Super-twisting algorithm; Unknown input observer; Chaotic synchronization;
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摘要
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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页码:3065 / 3075
页数:10
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