Adaptive Fixed-Time NN-Based Tracking Control for a Type of Stochastic Nonlinear Systems Subject to Input Saturation
This paper considers the adaptive fixed-time tracking control problem for stochastic systems subject to input saturation. Firstly, a smooth function approximation method is utilized to eliminate the effect of input saturation. Then, by combining the neural networks (NNs) approximation method with th...
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| Format: | Article |
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MDPI AG
2025-06-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/12/2018 |
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| author | Daohong Zhu Zhenzhen Long Liandi Fang |
| author_facet | Daohong Zhu Zhenzhen Long Liandi Fang |
| author_sort | Daohong Zhu |
| collection | DOAJ |
| description | This paper considers the adaptive fixed-time tracking control problem for stochastic systems subject to input saturation. Firstly, a smooth function approximation method is utilized to eliminate the effect of input saturation. Then, by combining the neural networks (NNs) approximation method with the backstepping-like technique, an adaptive fixed-time tracking control scheme is explicitly developed. The proposed scheme can ensure that the state variables are bounded in probability and the tracking error converges to a small region of the equilibrium point in a fixed time. Eventually, two numerical examples are given to indicate the performance and effectiveness of the presented strategy. |
| format | Article |
| id | doaj-art-d1caf884a2c14888bf3e7c5cadd17f40 |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-d1caf884a2c14888bf3e7c5cadd17f402025-08-20T03:16:22ZengMDPI AGMathematics2227-73902025-06-011312201810.3390/math13122018Adaptive Fixed-Time NN-Based Tracking Control for a Type of Stochastic Nonlinear Systems Subject to Input SaturationDaohong Zhu0Zhenzhen Long1Liandi Fang2College of Mathematics and Computer Science, Tongling University, Tongling 244061, ChinaSchool of Mathematics and Statistics, Anhui Normal University, Wuhu 241005, ChinaCollege of Mathematics and Computer Science, Tongling University, Tongling 244061, ChinaThis paper considers the adaptive fixed-time tracking control problem for stochastic systems subject to input saturation. Firstly, a smooth function approximation method is utilized to eliminate the effect of input saturation. Then, by combining the neural networks (NNs) approximation method with the backstepping-like technique, an adaptive fixed-time tracking control scheme is explicitly developed. The proposed scheme can ensure that the state variables are bounded in probability and the tracking error converges to a small region of the equilibrium point in a fixed time. Eventually, two numerical examples are given to indicate the performance and effectiveness of the presented strategy.https://www.mdpi.com/2227-7390/13/12/2018fixed-time tracking controlstochastic systemsinput saturationneural networkbackstepping-like technique |
| spellingShingle | Daohong Zhu Zhenzhen Long Liandi Fang Adaptive Fixed-Time NN-Based Tracking Control for a Type of Stochastic Nonlinear Systems Subject to Input Saturation Mathematics fixed-time tracking control stochastic systems input saturation neural network backstepping-like technique |
| title | Adaptive Fixed-Time NN-Based Tracking Control for a Type of Stochastic Nonlinear Systems Subject to Input Saturation |
| title_full | Adaptive Fixed-Time NN-Based Tracking Control for a Type of Stochastic Nonlinear Systems Subject to Input Saturation |
| title_fullStr | Adaptive Fixed-Time NN-Based Tracking Control for a Type of Stochastic Nonlinear Systems Subject to Input Saturation |
| title_full_unstemmed | Adaptive Fixed-Time NN-Based Tracking Control for a Type of Stochastic Nonlinear Systems Subject to Input Saturation |
| title_short | Adaptive Fixed-Time NN-Based Tracking Control for a Type of Stochastic Nonlinear Systems Subject to Input Saturation |
| title_sort | adaptive fixed time nn based tracking control for a type of stochastic nonlinear systems subject to input saturation |
| topic | fixed-time tracking control stochastic systems input saturation neural network backstepping-like technique |
| url | https://www.mdpi.com/2227-7390/13/12/2018 |
| work_keys_str_mv | AT daohongzhu adaptivefixedtimennbasedtrackingcontrolforatypeofstochasticnonlinearsystemssubjecttoinputsaturation AT zhenzhenlong adaptivefixedtimennbasedtrackingcontrolforatypeofstochasticnonlinearsystemssubjecttoinputsaturation AT liandifang adaptivefixedtimennbasedtrackingcontrolforatypeofstochasticnonlinearsystemssubjecttoinputsaturation |