LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos
This paper investigates a new wing doubled fractional-order chaos and its control. Firstly, a new fractional-order chaos is proposed, replacing linear term x in the second equation by its absolute value; a new improved system is got, which can make the wing of the original system doubled. Then, circ...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2015/604257 |
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| _version_ | 1832554193525669888 |
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| author | Bin Wang Yuzhu Wang Hongbo Cao Delan Zhu |
| author_facet | Bin Wang Yuzhu Wang Hongbo Cao Delan Zhu |
| author_sort | Bin Wang |
| collection | DOAJ |
| description | This paper investigates a new wing doubled fractional-order chaos and its control. Firstly, a new fractional-order chaos is proposed, replacing linear term x in the second equation by its absolute value; a new improved system is got, which can make the wing of the original system doubled. Then, circuit diagram is presented for the proposed fractional-order chaos. Furthermore, based on fractional-order stability theory and T-S fuzzy model, a more practical stability condition for fuzzy control of the proposed fractional-order chaos is given as s set of linear matrix inequality (LMI) and the strict mathematical norms of LMI are presented. Finally, numerical simulations are given to verify the effectiveness of the proposed theoretical results. |
| format | Article |
| id | doaj-art-fa4d020bdaa0441cb36e531df7117958 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-fa4d020bdaa0441cb36e531df71179582025-02-03T05:52:12ZengWileyJournal of Control Science and Engineering1687-52491687-52572015-01-01201510.1155/2015/604257604257LMI Based Fuzzy Control of a Wing Doubled Fractional-Order ChaosBin Wang0Yuzhu Wang1Hongbo Cao2Delan Zhu3Department of Electrical Engineering, Northwest A&F University, Yangling 712100, ChinaDepartment of Electrical Engineering, Northwest A&F University, Yangling 712100, ChinaDepartment of Electrical Engineering, Northwest A&F University, Yangling 712100, ChinaDepartment of Electrical Engineering, Northwest A&F University, Yangling 712100, ChinaThis paper investigates a new wing doubled fractional-order chaos and its control. Firstly, a new fractional-order chaos is proposed, replacing linear term x in the second equation by its absolute value; a new improved system is got, which can make the wing of the original system doubled. Then, circuit diagram is presented for the proposed fractional-order chaos. Furthermore, based on fractional-order stability theory and T-S fuzzy model, a more practical stability condition for fuzzy control of the proposed fractional-order chaos is given as s set of linear matrix inequality (LMI) and the strict mathematical norms of LMI are presented. Finally, numerical simulations are given to verify the effectiveness of the proposed theoretical results.http://dx.doi.org/10.1155/2015/604257 |
| spellingShingle | Bin Wang Yuzhu Wang Hongbo Cao Delan Zhu LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos Journal of Control Science and Engineering |
| title | LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos |
| title_full | LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos |
| title_fullStr | LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos |
| title_full_unstemmed | LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos |
| title_short | LMI Based Fuzzy Control of a Wing Doubled Fractional-Order Chaos |
| title_sort | lmi based fuzzy control of a wing doubled fractional order chaos |
| url | http://dx.doi.org/10.1155/2015/604257 |
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