Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov
Based on an integer-order Brushless DC motors (IO-BLDCM) system, we give a fractional-order Brushless DC motors (FO-BLDCM) system in this paper. There exists a chaotic attractor for fractional-order 0.95<q≤1 in the FO-BLDCM system. Furthermore, using the Lyapunov direct method for fractional-orde...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/750435 |
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| _version_ | 1832551841672462336 |
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| author | Ping Zhou Rongji Bai Hao Cai |
| author_facet | Ping Zhou Rongji Bai Hao Cai |
| author_sort | Ping Zhou |
| collection | DOAJ |
| description | Based on an integer-order Brushless DC motors (IO-BLDCM) system, we give a fractional-order Brushless DC motors (FO-BLDCM) system in this paper. There exists a chaotic attractor for fractional-order 0.95<q≤1 in the FO-BLDCM system. Furthermore, using the Lyapunov direct method for fractional-order system, a control scheme is proposed to stabilize the FO-BLDCM chaotic system in the sense of Lyapunov. Numerical simulation shows that the control scheme in this paper is valid for the FO-BLDCM chaotic system. |
| format | Article |
| id | doaj-art-e34ce7acd7ab40689fe69158345a935c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e34ce7acd7ab40689fe69158345a935c2025-02-03T06:00:23ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/750435750435Stabilization of the FO-BLDCM Chaotic System in the Sense of LyapunovPing Zhou0Rongji Bai1Hao Cai2Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaBased on an integer-order Brushless DC motors (IO-BLDCM) system, we give a fractional-order Brushless DC motors (FO-BLDCM) system in this paper. There exists a chaotic attractor for fractional-order 0.95<q≤1 in the FO-BLDCM system. Furthermore, using the Lyapunov direct method for fractional-order system, a control scheme is proposed to stabilize the FO-BLDCM chaotic system in the sense of Lyapunov. Numerical simulation shows that the control scheme in this paper is valid for the FO-BLDCM chaotic system.http://dx.doi.org/10.1155/2015/750435 |
| spellingShingle | Ping Zhou Rongji Bai Hao Cai Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov Discrete Dynamics in Nature and Society |
| title | Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov |
| title_full | Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov |
| title_fullStr | Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov |
| title_full_unstemmed | Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov |
| title_short | Stabilization of the FO-BLDCM Chaotic System in the Sense of Lyapunov |
| title_sort | stabilization of the fo bldcm chaotic system in the sense of lyapunov |
| url | http://dx.doi.org/10.1155/2015/750435 |
| work_keys_str_mv | AT pingzhou stabilizationofthefobldcmchaoticsysteminthesenseoflyapunov AT rongjibai stabilizationofthefobldcmchaoticsysteminthesenseoflyapunov AT haocai stabilizationofthefobldcmchaoticsysteminthesenseoflyapunov |