Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance
This paper solves the tracking control problem of a class of stochastic pure-feedback nonlinear systems with external disturbances and unknown hysteresis. By using the mean-value theorem, the problem of pure-feedback nonlinear function is solved. The direction-unknown hysteresis problem is solved wi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/1487134 |
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| _version_ | 1832561080462737408 |
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| author | Xikui Liu Yingying Ge Yan Li |
| author_facet | Xikui Liu Yingying Ge Yan Li |
| author_sort | Xikui Liu |
| collection | DOAJ |
| description | This paper solves the tracking control problem of a class of stochastic pure-feedback nonlinear systems with external disturbances and unknown hysteresis. By using the mean-value theorem, the problem of pure-feedback nonlinear function is solved. The direction-unknown hysteresis problem is solved with the aid of the Nussbaum function. The external disturbance problems can be solved by defining new Lyapunov functions. Using the backstepping technique, a new adaptive fuzzy control scheme is proposed. The results show that the proposed control scheme ensures that all signals of the closed-loop system are semiglobally uniformly bounded and the tracking error converges to the small neighborhood of origin in the sense of mean quartic value. Simulation results illustrate the effectiveness of the proposed control scheme. |
| format | Article |
| id | doaj-art-365313cf1049449aa7a2835a03cd5671 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-365313cf1049449aa7a2835a03cd56712025-02-03T01:25:59ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/14871341487134Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External DisturbanceXikui Liu0Yingying Ge1Yan Li2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, ChinaThis paper solves the tracking control problem of a class of stochastic pure-feedback nonlinear systems with external disturbances and unknown hysteresis. By using the mean-value theorem, the problem of pure-feedback nonlinear function is solved. The direction-unknown hysteresis problem is solved with the aid of the Nussbaum function. The external disturbance problems can be solved by defining new Lyapunov functions. Using the backstepping technique, a new adaptive fuzzy control scheme is proposed. The results show that the proposed control scheme ensures that all signals of the closed-loop system are semiglobally uniformly bounded and the tracking error converges to the small neighborhood of origin in the sense of mean quartic value. Simulation results illustrate the effectiveness of the proposed control scheme.http://dx.doi.org/10.1155/2018/1487134 |
| spellingShingle | Xikui Liu Yingying Ge Yan Li Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance Complexity |
| title | Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance |
| title_full | Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance |
| title_fullStr | Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance |
| title_full_unstemmed | Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance |
| title_short | Adaptive Fuzzy Control for Stochastic Pure-Feedback Nonlinear Systems with Unknown Hysteresis and External Disturbance |
| title_sort | adaptive fuzzy control for stochastic pure feedback nonlinear systems with unknown hysteresis and external disturbance |
| url | http://dx.doi.org/10.1155/2018/1487134 |
| work_keys_str_mv | AT xikuiliu adaptivefuzzycontrolforstochasticpurefeedbacknonlinearsystemswithunknownhysteresisandexternaldisturbance AT yingyingge adaptivefuzzycontrolforstochasticpurefeedbacknonlinearsystemswithunknownhysteresisandexternaldisturbance AT yanli adaptivefuzzycontrolforstochasticpurefeedbacknonlinearsystemswithunknownhysteresisandexternaldisturbance |