Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form
This paper presents a fuzzy adaptive control method for MIMO uncertain chaotic systems in nonstrict feedback form, which is capable of guaranteeing the prescribed performance bounds. For the prescribed performance bounds, we mean that the tracking error should converge to a predefined arbitrarily s...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/192387 |
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| _version_ | 1832551340532826112 |
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| author | Yeguo Sun Heng Liu |
| author_facet | Yeguo Sun Heng Liu |
| author_sort | Yeguo Sun |
| collection | DOAJ |
| description | This paper presents a fuzzy adaptive control method for MIMO uncertain chaotic systems in nonstrict feedback form, which is capable of guaranteeing the prescribed performance bounds. For the prescribed performance bounds, we mean that the tracking error should converge to a predefined arbitrarily small set, with convergence rate no more than a prescribed value. A novel output error transformation is introduced to transform the original constrained system into an equivalent unconstrained one, and it is proved that the stabilization of the unconstrained system is sufficient to solve the problem. Based on the error transformation technique, a fuzzy adaptive controller is designed for the unconstrained system. For updating the parameters of the fuzzy logic systems, a proportional-integral adaptation law is
proposed. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results. |
| format | Article |
| id | doaj-art-db184f79b3b94f12a1dd97284e38aedb |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-db184f79b3b94f12a1dd97284e38aedb2025-02-03T06:01:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/192387192387Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback FormYeguo Sun0Heng Liu1Department of Mathematics and Computational Science, Huainan Normal University, 238 Dongshan West Road, Huainan 232038, ChinaDepartment of Mathematics and Computational Science, Huainan Normal University, 238 Dongshan West Road, Huainan 232038, ChinaThis paper presents a fuzzy adaptive control method for MIMO uncertain chaotic systems in nonstrict feedback form, which is capable of guaranteeing the prescribed performance bounds. For the prescribed performance bounds, we mean that the tracking error should converge to a predefined arbitrarily small set, with convergence rate no more than a prescribed value. A novel output error transformation is introduced to transform the original constrained system into an equivalent unconstrained one, and it is proved that the stabilization of the unconstrained system is sufficient to solve the problem. Based on the error transformation technique, a fuzzy adaptive controller is designed for the unconstrained system. For updating the parameters of the fuzzy logic systems, a proportional-integral adaptation law is proposed. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed results.http://dx.doi.org/10.1155/2014/192387 |
| spellingShingle | Yeguo Sun Heng Liu Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form Discrete Dynamics in Nature and Society |
| title | Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form |
| title_full | Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form |
| title_fullStr | Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form |
| title_full_unstemmed | Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form |
| title_short | Fuzzy Adaptive Prescribed Performance Control for MIMO Uncertain Chaotic Systems in Nonstrict Feedback Form |
| title_sort | fuzzy adaptive prescribed performance control for mimo uncertain chaotic systems in nonstrict feedback form |
| url | http://dx.doi.org/10.1155/2014/192387 |
| work_keys_str_mv | AT yeguosun fuzzyadaptiveprescribedperformancecontrolformimouncertainchaoticsystemsinnonstrictfeedbackform AT hengliu fuzzyadaptiveprescribedperformancecontrolformimouncertainchaoticsystemsinnonstrictfeedbackform |