Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems
This paper is concerned with non-fragile sliding mode control of uncertain chaotic systems with external disturbance. Firstly, a new sliding surface is proposed, and sufficient conditions are derived to guarantee that sliding mode dynamics is asymptotically stable with a generalized H2 disturbance r...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2011/859159 |
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| _version_ | 1832555490682339328 |
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| author | Leipo Liu Zhengzhi Han Zhumu Fu |
| author_facet | Leipo Liu Zhengzhi Han Zhumu Fu |
| author_sort | Leipo Liu |
| collection | DOAJ |
| description | This paper is concerned with non-fragile sliding mode control of uncertain chaotic systems with external disturbance. Firstly, a new sliding surface is proposed, and sufficient conditions are derived to guarantee that sliding mode dynamics is asymptotically stable with a generalized H2 disturbance rejection level. Secondly, non-fragile sliding mode controller is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-be855678f63e47acaf3286f613394f96 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-be855678f63e47acaf3286f613394f962025-02-03T05:48:06ZengWileyJournal of Control Science and Engineering1687-52491687-52572011-01-01201110.1155/2011/859159859159Non-Fragile Sliding Mode Control of Uncertain Chaotic SystemsLeipo Liu0Zhengzhi Han1Zhumu Fu2College of Electrical and Information Engineering, Henan University of Science and Technology, Luoyang 471003, ChinaSchool of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai 200240, ChinaCollege of Electrical and Information Engineering, Henan University of Science and Technology, Luoyang 471003, ChinaThis paper is concerned with non-fragile sliding mode control of uncertain chaotic systems with external disturbance. Firstly, a new sliding surface is proposed, and sufficient conditions are derived to guarantee that sliding mode dynamics is asymptotically stable with a generalized H2 disturbance rejection level. Secondly, non-fragile sliding mode controller is established to make the state of system reach the sliding surface in a finite time. Finally, an example is given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2011/859159 |
| spellingShingle | Leipo Liu Zhengzhi Han Zhumu Fu Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems Journal of Control Science and Engineering |
| title | Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems |
| title_full | Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems |
| title_fullStr | Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems |
| title_full_unstemmed | Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems |
| title_short | Non-Fragile Sliding Mode Control of Uncertain Chaotic Systems |
| title_sort | non fragile sliding mode control of uncertain chaotic systems |
| url | http://dx.doi.org/10.1155/2011/859159 |
| work_keys_str_mv | AT leipoliu nonfragileslidingmodecontrolofuncertainchaoticsystems AT zhengzhihan nonfragileslidingmodecontrolofuncertainchaoticsystems AT zhumufu nonfragileslidingmodecontrolofuncertainchaoticsystems |