Fractional Super-Twisting/Terminal Sliding Mode Protocol for Nonlinear Dynamical Model: Applications on Hovercraft/Chaotic Systems
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2023
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| _version_ | 1866901127088308224 |
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| author | Ghasemi, Reza Shahbazi, Farideh Mahmoodi, Mahmood |
| author_facet | Ghasemi, Reza Shahbazi, Farideh Mahmoodi, Mahmood |
| contents | 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. 2023, Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_1007_s11804-023-00329-7 |
| institution | Zenodo |
| language | eng |
| publishDate | 2023 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Fractional Super-Twisting/Terminal Sliding Mode Protocol for Nonlinear Dynamical Model: Applications on Hovercraft/Chaotic Systems Ghasemi, Reza Shahbazi, Farideh Mahmoodi, Mahmood Fractional-order system Hovercraft Nonlinear system Sliding mode control Stability Super-twisting algorithm Terminal methodology 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. 2023, Harbin Engineering University and Springer-Verlag GmbH Germany, part of Springer Nature. |
| title | Fractional Super-Twisting/Terminal Sliding Mode Protocol for Nonlinear Dynamical Model: Applications on Hovercraft/Chaotic Systems |
| topic | Fractional-order system Hovercraft Nonlinear system Sliding mode control Stability Super-twisting algorithm Terminal methodology |
| url | https://doi.org/10.1007/s11804-023-00329-7 |