Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems
This paper considers the problem of non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems. Firstly, the definition on finite-time stability (FTS) for continuous-time nonlinear systems is provided and we give a novel and explicit interpretation for non-fragile fi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2014-01-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25868467.pdf |
| _version_ | 1811300755613679616 |
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| author | Lei Zhang Xiang-Yun Wang Kun Zhang |
| author_facet | Lei Zhang Xiang-Yun Wang Kun Zhang |
| author_sort | Lei Zhang |
| collection | DOAJ |
| description | This paper considers the problem of non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems. Firstly, the definition on finite-time stability (FTS) for continuous-time nonlinear systems is provided and we give a novel and explicit interpretation for non-fragile finite-time guaranteed cost control. Secondly, sufficient conditions for the existence of state feedback controller are derived in terms of linear matrix inequities (LMIs), which guarantee the requirements of the provided performance criterion. The related optimization problem is also offered to minimize the guaranteed cost performance bound. Finally, an illustrative example is presented to show the validity of the proposed scheme. |
| first_indexed | 2024-04-13T06:57:09Z |
| format | Article |
| id | doaj.art-9561a058f9784412a67b467c83972f9d |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-13T06:57:09Z |
| publishDate | 2014-01-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-9561a058f9784412a67b467c83972f9d2022-12-22T02:57:14ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832014-01-017110.1080/18756891.2013.862379Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systemsLei ZhangXiang-Yun WangKun ZhangThis paper considers the problem of non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems. Firstly, the definition on finite-time stability (FTS) for continuous-time nonlinear systems is provided and we give a novel and explicit interpretation for non-fragile finite-time guaranteed cost control. Secondly, sufficient conditions for the existence of state feedback controller are derived in terms of linear matrix inequities (LMIs), which guarantee the requirements of the provided performance criterion. The related optimization problem is also offered to minimize the guaranteed cost performance bound. Finally, an illustrative example is presented to show the validity of the proposed scheme.https://www.atlantis-press.com/article/25868467.pdfFinite-time stabilityGuaranteed costFuzzy controlLinear matrix inequality |
| spellingShingle | Lei Zhang Xiang-Yun Wang Kun Zhang Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems International Journal of Computational Intelligence Systems Finite-time stability Guaranteed cost Fuzzy control Linear matrix inequality |
| title | Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems |
| title_full | Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems |
| title_fullStr | Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems |
| title_full_unstemmed | Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems |
| title_short | Non-fragile finite-time guaranteed cost fuzzy control for continuous-time nonlinear systems |
| title_sort | non fragile finite time guaranteed cost fuzzy control for continuous time nonlinear systems |
| topic | Finite-time stability Guaranteed cost Fuzzy control Linear matrix inequality |
| url | https://www.atlantis-press.com/article/25868467.pdf |
| work_keys_str_mv | AT leizhang nonfragilefinitetimeguaranteedcostfuzzycontrolforcontinuoustimenonlinearsystems AT xiangyunwang nonfragilefinitetimeguaranteedcostfuzzycontrolforcontinuoustimenonlinearsystems AT kunzhang nonfragilefinitetimeguaranteedcostfuzzycontrolforcontinuoustimenonlinearsystems |