Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs
For a class of uncertain nonlinear chaotic systems with unknown control gain signs and saturated input, by means of Nussbaum function, a scheme of finite-time prescribed performance synchronization control is proposed. Here, Nussbaum function is used to eliminate the influence of unknown control gai...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/5160768 |
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| _version_ | 1832546259705004032 |
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| author | Xin Ma Fang Zhu |
| author_facet | Xin Ma Fang Zhu |
| author_sort | Xin Ma |
| collection | DOAJ |
| description | For a class of uncertain nonlinear chaotic systems with unknown control gain signs and saturated input, by means of Nussbaum function, a scheme of finite-time prescribed performance synchronization control is proposed. Here, Nussbaum function is used to eliminate the influence of unknown control gain signs, and fuzzy logic systems are used to estimate unknown functions. Lyapunov theory is used to prove that all synchronization errors converge to a predefined small performance range under the designed control method. Finally, simulation results are provided to illustrate the feasibility of the proposed method. |
| format | Article |
| id | doaj-art-4d90a141de85412ba869a0ed1d40518e |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-4d90a141de85412ba869a0ed1d40518e2025-02-03T07:23:28ZengWileyJournal of Control Science and Engineering1687-52491687-52572021-01-01202110.1155/2021/51607685160768Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain SignsXin Ma0Fang Zhu1Department of Finance and Mathematics, Huainan Normal University, Huainan 232038, ChinaDepartment of Finance and Mathematics, Huainan Normal University, Huainan 232038, ChinaFor a class of uncertain nonlinear chaotic systems with unknown control gain signs and saturated input, by means of Nussbaum function, a scheme of finite-time prescribed performance synchronization control is proposed. Here, Nussbaum function is used to eliminate the influence of unknown control gain signs, and fuzzy logic systems are used to estimate unknown functions. Lyapunov theory is used to prove that all synchronization errors converge to a predefined small performance range under the designed control method. Finally, simulation results are provided to illustrate the feasibility of the proposed method.http://dx.doi.org/10.1155/2021/5160768 |
| spellingShingle | Xin Ma Fang Zhu Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs Journal of Control Science and Engineering |
| title | Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs |
| title_full | Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs |
| title_fullStr | Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs |
| title_full_unstemmed | Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs |
| title_short | Prescribed Performance Synchronization Control of Chaotic Systems with Unknown Control Gain Signs |
| title_sort | prescribed performance synchronization control of chaotic systems with unknown control gain signs |
| url | http://dx.doi.org/10.1155/2021/5160768 |
| work_keys_str_mv | AT xinma prescribedperformancesynchronizationcontrolofchaoticsystemswithunknowncontrolgainsigns AT fangzhu prescribedperformancesynchronizationcontrolofchaoticsystemswithunknowncontrolgainsigns |