Finite-Time Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Input Quantization and Actuator Faults
This study examines the problem of fuzzy adaptive finite-time control for strict-feedback stochastic nonlinear systems in the presence of actuator faults and quantization. The nonlinear functions inside the systems are approximated using fuzzy logic systems (FLS). Fuzzy approximation abilities are e...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/6778333 |
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| _version_ | 1849408974103773184 |
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| author | Mohamed Kharrat Hadil Alhazmi |
| author_facet | Mohamed Kharrat Hadil Alhazmi |
| author_sort | Mohamed Kharrat |
| collection | DOAJ |
| description | This study examines the problem of fuzzy adaptive finite-time control for strict-feedback stochastic nonlinear systems in the presence of actuator faults and quantization. The nonlinear functions inside the systems are approximated using fuzzy logic systems (FLS). Fuzzy approximation abilities are employed to develop an adaptive fuzzy finite-time controller based on the backstepping design methodology and the Lyapunov function approach. It is shown that, despite quantization and unknown actuator faults, the closed-loop system states stay bounded and the tracking error is confined to a small range close to equilibrium in finite time. The simulation examples are provided to illustrate the efficacy of the control strategy. |
| format | Article |
| id | doaj-art-77bbb138254b4e8895fc6b808e665d1c |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-77bbb138254b4e8895fc6b808e665d1c2025-08-20T03:35:38ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/6778333Finite-Time Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Input Quantization and Actuator FaultsMohamed Kharrat0Hadil Alhazmi1Mathematics DepartmentDepartment of Mathematical SciencesThis study examines the problem of fuzzy adaptive finite-time control for strict-feedback stochastic nonlinear systems in the presence of actuator faults and quantization. The nonlinear functions inside the systems are approximated using fuzzy logic systems (FLS). Fuzzy approximation abilities are employed to develop an adaptive fuzzy finite-time controller based on the backstepping design methodology and the Lyapunov function approach. It is shown that, despite quantization and unknown actuator faults, the closed-loop system states stay bounded and the tracking error is confined to a small range close to equilibrium in finite time. The simulation examples are provided to illustrate the efficacy of the control strategy.http://dx.doi.org/10.1155/2024/6778333 |
| spellingShingle | Mohamed Kharrat Hadil Alhazmi Finite-Time Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Input Quantization and Actuator Faults Journal of Mathematics |
| title | Finite-Time Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Input Quantization and Actuator Faults |
| title_full | Finite-Time Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Input Quantization and Actuator Faults |
| title_fullStr | Finite-Time Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Input Quantization and Actuator Faults |
| title_full_unstemmed | Finite-Time Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Input Quantization and Actuator Faults |
| title_short | Finite-Time Adaptive Fuzzy Control for Stochastic Nonlinear Systems with Input Quantization and Actuator Faults |
| title_sort | finite time adaptive fuzzy control for stochastic nonlinear systems with input quantization and actuator faults |
| url | http://dx.doi.org/10.1155/2024/6778333 |
| work_keys_str_mv | AT mohamedkharrat finitetimeadaptivefuzzycontrolforstochasticnonlinearsystemswithinputquantizationandactuatorfaults AT hadilalhazmi finitetimeadaptivefuzzycontrolforstochasticnonlinearsystemswithinputquantizationandactuatorfaults |