Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systems
This study investigates the fixed-time control problem for a class of second-order nonlinear systems. Acknowledging that most existing fixed-time sliding mode controllers encounter singularity issues, this paper aims to design a non-singular fixed-time sliding mode controller. Initially, a novel fix...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025309 |
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| author | Zhiqiang Chen Alexander Yurievich Krasnov |
| author_facet | Zhiqiang Chen Alexander Yurievich Krasnov |
| author_sort | Zhiqiang Chen |
| collection | DOAJ |
| description | This study investigates the fixed-time control problem for a class of second-order nonlinear systems. Acknowledging that most existing fixed-time sliding mode controllers encounter singularity issues, this paper aims to design a non-singular fixed-time sliding mode controller. Initially, a novel fixed-time sliding mode surface incorporating a sinusoidal function is proposed. Utilizing Lyapunov stability theory, it is rigorously demonstrated that the closed-loop system achieves fixed-time stability under the proposed controller. Furthermore, improvements are introduced to the controller design to mitigate the chattering phenomenon. It is shown that the tracking error converges to a small region around zero within a fixed time. Finally, comparative simulations conducted in MATLAB confirm the effectiveness and superiority of the proposed control algorithm. |
| format | Article |
| id | doaj-art-d3be9c251e43449ea7a129d71a436ffd |
| institution | DOAJ |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-d3be9c251e43449ea7a129d71a436ffd2025-08-20T03:16:58ZengAIMS PressAIMS Mathematics2473-69882025-03-011036745676310.3934/math.2025309Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systemsZhiqiang Chen0Alexander Yurievich Krasnov1Faculty of Control Systems and Robotics, ITMO University, 49 Kronverkskiy ave, St. Petersburg, Leningrad Region, RussiaFaculty of Control Systems and Robotics, ITMO University, 49 Kronverkskiy ave, St. Petersburg, Leningrad Region, RussiaThis study investigates the fixed-time control problem for a class of second-order nonlinear systems. Acknowledging that most existing fixed-time sliding mode controllers encounter singularity issues, this paper aims to design a non-singular fixed-time sliding mode controller. Initially, a novel fixed-time sliding mode surface incorporating a sinusoidal function is proposed. Utilizing Lyapunov stability theory, it is rigorously demonstrated that the closed-loop system achieves fixed-time stability under the proposed controller. Furthermore, improvements are introduced to the controller design to mitigate the chattering phenomenon. It is shown that the tracking error converges to a small region around zero within a fixed time. Finally, comparative simulations conducted in MATLAB confirm the effectiveness and superiority of the proposed control algorithm.https://www.aimspress.com/article/doi/10.3934/math.2025309second-order nonlinear systemfixed time convergencenon-singular sliding mode controlchattering |
| spellingShingle | Zhiqiang Chen Alexander Yurievich Krasnov Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systems AIMS Mathematics second-order nonlinear system fixed time convergence non-singular sliding mode control chattering |
| title | Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systems |
| title_full | Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systems |
| title_fullStr | Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systems |
| title_full_unstemmed | Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systems |
| title_short | Disturbance observer based fixed time sliding mode control for a class of uncertain second-order nonlinear systems |
| title_sort | disturbance observer based fixed time sliding mode control for a class of uncertain second order nonlinear systems |
| topic | second-order nonlinear system fixed time convergence non-singular sliding mode control chattering |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025309 |
| work_keys_str_mv | AT zhiqiangchen disturbanceobserverbasedfixedtimeslidingmodecontrolforaclassofuncertainsecondordernonlinearsystems AT alexanderyurievichkrasnov disturbanceobserverbasedfixedtimeslidingmodecontrolforaclassofuncertainsecondordernonlinearsystems |