Fractional Super-Twisting/Terminal Sliding Mode Protocol for Nonlinear Dynamical Model: Applications on Hovercraft/Chaotic Systems

Fractional terminal and super-twisting as two types of fractional sliding mode controller are addressed in the present paper. The proposed methodologies are planned for both the nonlinear fractional-order chaotic systems and the nonlinear factional model of Hovercraft. The suggested procedure guaran...

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Bibliographic Details
Published in:Journal of marine science and application 2023-09, Vol.22 (3), p.556-564
Main Authors: Ghasemi, Reza, Shahbazi, Farideh, Mahmoodi, Mahmood
Format: Article
Language:English
Subjects:
Asymptotic methods
Closed loops
Controllers
Convergence
Dynamic models
Electrical Machines and Networks
Engineering
Feedback control
Geotechnical Engineering & Applied Earth Sciences
Ground effect machines
Hovercraft
Machinery and Machine Elements
Methods
Offshore Engineering
Power Electronics
Reduction
Research Article
Sliding mode control
Slumping
Stability
Systems stability
Tracking errors
Twisting
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Summary:Fractional terminal and super-twisting as two types of fractional sliding mode controller are addressed in the present paper. The proposed methodologies are planned for both the nonlinear fractional-order chaotic systems and the nonlinear factional model of Hovercraft. The suggested procedure guarantees the asymptotic stability of fractional-order chaotic systems based on Lyapunov stability theorem, by presenting a set of fractional-order laws. Compared to the previous studies that concentrate on sliding mode controllers with unwanted chattering phenomena, the proposed methodologies deal with chattering reduction of terminal sliding mode controller/super twisting to converge to desired value in finite time, consequently. The main advantages of the offered controllers are 1) closed-loop system stability, 2) robustness against external disturbances and uncertainties, 3) finite time zero-convergence of the output tracking error, and 4) chattering phenomena reduction. Finally, the simulation results show the performance of the approaches both on the chaotic and Hovercraft models.
ISSN:1671-9433
1993-5048
DOI:10.1007/s11804-023-00329-7