Adaptive Control of the Chaotic System via Singular System Approach
This paper deals with the control problem of the chaotic system subject to disturbance. The sliding mode surface is designed by singular system approach, and sufficient condition for convergence is given. Then, the adaptive sliding mode controller is designed to make the state arrive at the sliding...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/580105 |
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| _version_ | 1849387060540997632 |
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| author | Yudong Li Tianyu Zhang Yujun Zhang |
| author_facet | Yudong Li Tianyu Zhang Yujun Zhang |
| author_sort | Yudong Li |
| collection | DOAJ |
| description | This paper deals with the control problem of the chaotic system subject to disturbance. The sliding mode surface is designed by singular system approach, and sufficient condition for convergence is given. Then, the adaptive sliding mode controller is designed to make the state arrive at the sliding mode surface in finite time. Finally, Lorenz system is considered as an example to show the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-001aeea3bfbe4a208fafa9fc1e82d2c7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-001aeea3bfbe4a208fafa9fc1e82d2c72025-08-20T03:55:23ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/580105580105Adaptive Control of the Chaotic System via Singular System ApproachYudong Li0Tianyu Zhang1Yujun Zhang2School of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo, Henan 454003, ChinaSchool of Mechanical and Electrical Engineering, Henan Vocational College of Industry and Information Technology, Jiaozuo, Henan 454003, ChinaSchool of Electrical Engineering & Automation, Henan Polytechnic University, Jiaozuo, Henan 454003, ChinaThis paper deals with the control problem of the chaotic system subject to disturbance. The sliding mode surface is designed by singular system approach, and sufficient condition for convergence is given. Then, the adaptive sliding mode controller is designed to make the state arrive at the sliding mode surface in finite time. Finally, Lorenz system is considered as an example to show the effectiveness of the proposed method.http://dx.doi.org/10.1155/2014/580105 |
| spellingShingle | Yudong Li Tianyu Zhang Yujun Zhang Adaptive Control of the Chaotic System via Singular System Approach Journal of Applied Mathematics |
| title | Adaptive Control of the Chaotic System via Singular System Approach |
| title_full | Adaptive Control of the Chaotic System via Singular System Approach |
| title_fullStr | Adaptive Control of the Chaotic System via Singular System Approach |
| title_full_unstemmed | Adaptive Control of the Chaotic System via Singular System Approach |
| title_short | Adaptive Control of the Chaotic System via Singular System Approach |
| title_sort | adaptive control of the chaotic system via singular system approach |
| url | http://dx.doi.org/10.1155/2014/580105 |
| work_keys_str_mv | AT yudongli adaptivecontrolofthechaoticsystemviasingularsystemapproach AT tianyuzhang adaptivecontrolofthechaoticsystemviasingularsystemapproach AT yujunzhang adaptivecontrolofthechaoticsystemviasingularsystemapproach |