Robust Adaptive Fuzzy Control via State-Dependent Function for Nonlinear Stochastic Large-Scale Systems Subject to Dead Zones
This paper concentrates on the adaptive fuzzy control problem for stochastic nonlinear large-scale systems with constraints and unknown dead zones. By introducing the state-dependent function, the constrained closed-loop system is transformed into a brand-new system without constraints, which can re...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/1491995 |
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| _version_ | 1832560614855147520 |
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| author | Chang-Qi Zhu Lei Liu |
| author_facet | Chang-Qi Zhu Lei Liu |
| author_sort | Chang-Qi Zhu |
| collection | DOAJ |
| description | This paper concentrates on the adaptive fuzzy control problem for stochastic nonlinear large-scale systems with constraints and unknown dead zones. By introducing the state-dependent function, the constrained closed-loop system is transformed into a brand-new system without constraints, which can realize the same control objective. Then, fuzzy logic systems (FLSs) are used to identify the unknown nonlinear functions, the dead zone inverse technique is utilized to compensate for the dead zone effect, and a robust adaptive fuzzy control scheme is developed under the backstepping frame. Based on the Lyapunov stability theory, it is proved ultimately that all signals in the closed-loop system are bounded and the tracking errors converge to a small neighborhood of the origin. Finally, an example based on an actual system is given to verify the effectiveness of the proposed control scheme. |
| format | Article |
| id | doaj-art-ace1dc46e955484bbcf151d8e3ae80ac |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ace1dc46e955484bbcf151d8e3ae80ac2025-02-03T01:27:08ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/14919951491995Robust Adaptive Fuzzy Control via State-Dependent Function for Nonlinear Stochastic Large-Scale Systems Subject to Dead ZonesChang-Qi Zhu0Lei Liu1College of Science, Liaoning University of Technology, Jinzhou 121001, Liaoning, ChinaCollege of Science, Liaoning University of Technology, Jinzhou 121001, Liaoning, ChinaThis paper concentrates on the adaptive fuzzy control problem for stochastic nonlinear large-scale systems with constraints and unknown dead zones. By introducing the state-dependent function, the constrained closed-loop system is transformed into a brand-new system without constraints, which can realize the same control objective. Then, fuzzy logic systems (FLSs) are used to identify the unknown nonlinear functions, the dead zone inverse technique is utilized to compensate for the dead zone effect, and a robust adaptive fuzzy control scheme is developed under the backstepping frame. Based on the Lyapunov stability theory, it is proved ultimately that all signals in the closed-loop system are bounded and the tracking errors converge to a small neighborhood of the origin. Finally, an example based on an actual system is given to verify the effectiveness of the proposed control scheme.http://dx.doi.org/10.1155/2021/1491995 |
| spellingShingle | Chang-Qi Zhu Lei Liu Robust Adaptive Fuzzy Control via State-Dependent Function for Nonlinear Stochastic Large-Scale Systems Subject to Dead Zones Complexity |
| title | Robust Adaptive Fuzzy Control via State-Dependent Function for Nonlinear Stochastic Large-Scale Systems Subject to Dead Zones |
| title_full | Robust Adaptive Fuzzy Control via State-Dependent Function for Nonlinear Stochastic Large-Scale Systems Subject to Dead Zones |
| title_fullStr | Robust Adaptive Fuzzy Control via State-Dependent Function for Nonlinear Stochastic Large-Scale Systems Subject to Dead Zones |
| title_full_unstemmed | Robust Adaptive Fuzzy Control via State-Dependent Function for Nonlinear Stochastic Large-Scale Systems Subject to Dead Zones |
| title_short | Robust Adaptive Fuzzy Control via State-Dependent Function for Nonlinear Stochastic Large-Scale Systems Subject to Dead Zones |
| title_sort | robust adaptive fuzzy control via state dependent function for nonlinear stochastic large scale systems subject to dead zones |
| url | http://dx.doi.org/10.1155/2021/1491995 |
| work_keys_str_mv | AT changqizhu robustadaptivefuzzycontrolviastatedependentfunctionfornonlinearstochasticlargescalesystemssubjecttodeadzones AT leiliu robustadaptivefuzzycontrolviastatedependentfunctionfornonlinearstochasticlargescalesystemssubjecttodeadzones |