A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order Systems
This article focuses on designing an adaptive sliding mode controller via state and output feedback for nonlinear singular fractional-order systems (SFOSs) with mismatched uncertainties. Firstly, on the basis of extending the dimension of the SFOS, a new integral sliding mode surface is constructed....
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-05-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/5/253 |
| _version_ | 1797499771805499392 |
|---|---|
| author | Shunan Chen Wenkai Huang Qiang Liu |
| author_facet | Shunan Chen Wenkai Huang Qiang Liu |
| author_sort | Shunan Chen |
| collection | DOAJ |
| description | This article focuses on designing an adaptive sliding mode controller via state and output feedback for nonlinear singular fractional-order systems (SFOSs) with mismatched uncertainties. Firstly, on the basis of extending the dimension of the SFOS, a new integral sliding mode surface is constructed. Through this special sliding surface, the sliding mode of the descriptor system does not contain a singular matrix <i>E</i>. Then, the sufficient conditions that ensure the stability of sliding mode motion are given by using linear matrix inequality. Finally, the control law based on an adaptive mechanism that is used to update the nonlinear terms is designed to ensure the SFOS satisfies the reaching condition. The applicability of the proposed method is illustrated by a practical example of a fractional-order circuit system and two numerical examples. |
| first_indexed | 2024-03-10T03:52:12Z |
| format | Article |
| id | doaj.art-6bfc477bce434632afa607427e766784 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T03:52:12Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-6bfc477bce434632afa607427e7667842023-11-23T11:03:34ZengMDPI AGFractal and Fractional2504-31102022-05-016525310.3390/fractalfract6050253A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order SystemsShunan Chen0Wenkai Huang1Qiang Liu2College of Sciences, Northeastern University, Shenyang 110819, ChinaCollege of Sciences, Northeastern University, Shenyang 110819, ChinaState Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, ChinaThis article focuses on designing an adaptive sliding mode controller via state and output feedback for nonlinear singular fractional-order systems (SFOSs) with mismatched uncertainties. Firstly, on the basis of extending the dimension of the SFOS, a new integral sliding mode surface is constructed. Through this special sliding surface, the sliding mode of the descriptor system does not contain a singular matrix <i>E</i>. Then, the sufficient conditions that ensure the stability of sliding mode motion are given by using linear matrix inequality. Finally, the control law based on an adaptive mechanism that is used to update the nonlinear terms is designed to ensure the SFOS satisfies the reaching condition. The applicability of the proposed method is illustrated by a practical example of a fractional-order circuit system and two numerical examples.https://www.mdpi.com/2504-3110/6/5/253sliding mode controllersingular fractional-order systemsstate and output feedbackadaptive mechanism |
| spellingShingle | Shunan Chen Wenkai Huang Qiang Liu A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order Systems Fractal and Fractional sliding mode controller singular fractional-order systems state and output feedback adaptive mechanism |
| title | A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order Systems |
| title_full | A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order Systems |
| title_fullStr | A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order Systems |
| title_full_unstemmed | A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order Systems |
| title_short | A New Adaptive Robust Sliding Mode Control Approach for Nonlinear Singular Fractional-Order Systems |
| title_sort | new adaptive robust sliding mode control approach for nonlinear singular fractional order systems |
| topic | sliding mode controller singular fractional-order systems state and output feedback adaptive mechanism |
| url | https://www.mdpi.com/2504-3110/6/5/253 |
| work_keys_str_mv | AT shunanchen anewadaptiverobustslidingmodecontrolapproachfornonlinearsingularfractionalordersystems AT wenkaihuang anewadaptiverobustslidingmodecontrolapproachfornonlinearsingularfractionalordersystems AT qiangliu anewadaptiverobustslidingmodecontrolapproachfornonlinearsingularfractionalordersystems AT shunanchen newadaptiverobustslidingmodecontrolapproachfornonlinearsingularfractionalordersystems AT wenkaihuang newadaptiverobustslidingmodecontrolapproachfornonlinearsingularfractionalordersystems AT qiangliu newadaptiverobustslidingmodecontrolapproachfornonlinearsingularfractionalordersystems |