Finite-Time Adaptive Control for Non-Strict Feedback Stochastic Nonlinear Systems
The problem of finite time adaptive control for stochastic nonlinear system is studied in this paper, where the system has a non-strict feedback structure. Under the sense of finite time stability, the authors propose a new neural network (NN) adaptive controller for stochastic nonlinear systems by...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8924614/ |
| _version_ | 1811274482857279488 |
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| author | Yumei Sun Bingwei Mao Shaowei Zhou Hongxia Liu |
| author_facet | Yumei Sun Bingwei Mao Shaowei Zhou Hongxia Liu |
| author_sort | Yumei Sun |
| collection | DOAJ |
| description | The problem of finite time adaptive control for stochastic nonlinear system is studied in this paper, where the system has a non-strict feedback structure. Under the sense of finite time stability, the authors propose a new neural network (NN) adaptive controller for stochastic nonlinear systems by backstepping technique. To overcome the difficulties that arise from the non-strict feedback structure of system, a key lemma is introduced. All the signals of the closed-loop systems are bounded in finite time in probability under the adaptive controller. At the same time good tracking performance can be achieved. A simulation example further shows the effectiveness of the control strategy in this thesis. |
| first_indexed | 2024-04-12T23:19:57Z |
| format | Article |
| id | doaj.art-e3c312321d7c4853b2441920958ba07e |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T23:19:57Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-e3c312321d7c4853b2441920958ba07e2022-12-22T03:12:33ZengIEEEIEEE Access2169-35362019-01-01717975817976410.1109/ACCESS.2019.29577718924614Finite-Time Adaptive Control for Non-Strict Feedback Stochastic Nonlinear SystemsYumei Sun0https://orcid.org/0000-0003-0222-3518Bingwei Mao1https://orcid.org/0000-0003-0617-7184Shaowei Zhou2https://orcid.org/0000-0002-8111-4514Hongxia Liu3https://orcid.org/0000-0002-6874-8686College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, ChinaCollege of Science, Yanshan University, Qinhuangdao, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, ChinaThe problem of finite time adaptive control for stochastic nonlinear system is studied in this paper, where the system has a non-strict feedback structure. Under the sense of finite time stability, the authors propose a new neural network (NN) adaptive controller for stochastic nonlinear systems by backstepping technique. To overcome the difficulties that arise from the non-strict feedback structure of system, a key lemma is introduced. All the signals of the closed-loop systems are bounded in finite time in probability under the adaptive controller. At the same time good tracking performance can be achieved. A simulation example further shows the effectiveness of the control strategy in this thesis.https://ieeexplore.ieee.org/document/8924614/Adaptive neural network controlbacksteppingstochastic nonlinear systemsfinite time stabilitnon-strict feedback system |
| spellingShingle | Yumei Sun Bingwei Mao Shaowei Zhou Hongxia Liu Finite-Time Adaptive Control for Non-Strict Feedback Stochastic Nonlinear Systems IEEE Access Adaptive neural network control backstepping stochastic nonlinear systems finite time stabilit non-strict feedback system |
| title | Finite-Time Adaptive Control for Non-Strict Feedback Stochastic Nonlinear Systems |
| title_full | Finite-Time Adaptive Control for Non-Strict Feedback Stochastic Nonlinear Systems |
| title_fullStr | Finite-Time Adaptive Control for Non-Strict Feedback Stochastic Nonlinear Systems |
| title_full_unstemmed | Finite-Time Adaptive Control for Non-Strict Feedback Stochastic Nonlinear Systems |
| title_short | Finite-Time Adaptive Control for Non-Strict Feedback Stochastic Nonlinear Systems |
| title_sort | finite time adaptive control for non strict feedback stochastic nonlinear systems |
| topic | Adaptive neural network control backstepping stochastic nonlinear systems finite time stabilit non-strict feedback system |
| url | https://ieeexplore.ieee.org/document/8924614/ |
| work_keys_str_mv | AT yumeisun finitetimeadaptivecontrolfornonstrictfeedbackstochasticnonlinearsystems AT bingweimao finitetimeadaptivecontrolfornonstrictfeedbackstochasticnonlinearsystems AT shaoweizhou finitetimeadaptivecontrolfornonstrictfeedbackstochasticnonlinearsystems AT hongxialiu finitetimeadaptivecontrolfornonstrictfeedbackstochasticnonlinearsystems |