An Approach of Tracking Control for Chaotic Systems
Combining the ergodicity of chaos and the Jacobian matrix, we design a general tracking controller for continuous and discrete chaotic systems. The control scheme has the ability to track a bounded reference signal. We prove its globally asymptotic stability and extend it to generalized projective s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/9735264 |
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| _version_ | 1832558983933591552 |
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| author | Jin Xing Fangfang Zhang |
| author_facet | Jin Xing Fangfang Zhang |
| author_sort | Jin Xing |
| collection | DOAJ |
| description | Combining the ergodicity of chaos and the Jacobian matrix, we design a general tracking controller for continuous and discrete chaotic systems. The control scheme has the ability to track a bounded reference signal. We prove its globally asymptotic stability and extend it to generalized projective synchronization. Numerical simulations verify the effectiveness of the proposed scheme. |
| format | Article |
| id | doaj-art-1ca83ecdd4c2406fb73490d2a62ae26a |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-1ca83ecdd4c2406fb73490d2a62ae26a2025-02-03T01:31:03ZengWileyJournal of Control Science and Engineering1687-52491687-52572016-01-01201610.1155/2016/97352649735264An Approach of Tracking Control for Chaotic SystemsJin Xing0Fangfang Zhang1College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaSchool of Electrical Engineering and Automation, Qilu University of Technology, Jinan, Shandong 250353, ChinaCombining the ergodicity of chaos and the Jacobian matrix, we design a general tracking controller for continuous and discrete chaotic systems. The control scheme has the ability to track a bounded reference signal. We prove its globally asymptotic stability and extend it to generalized projective synchronization. Numerical simulations verify the effectiveness of the proposed scheme.http://dx.doi.org/10.1155/2016/9735264 |
| spellingShingle | Jin Xing Fangfang Zhang An Approach of Tracking Control for Chaotic Systems Journal of Control Science and Engineering |
| title | An Approach of Tracking Control for Chaotic Systems |
| title_full | An Approach of Tracking Control for Chaotic Systems |
| title_fullStr | An Approach of Tracking Control for Chaotic Systems |
| title_full_unstemmed | An Approach of Tracking Control for Chaotic Systems |
| title_short | An Approach of Tracking Control for Chaotic Systems |
| title_sort | approach of tracking control for chaotic systems |
| url | http://dx.doi.org/10.1155/2016/9735264 |
| work_keys_str_mv | AT jinxing anapproachoftrackingcontrolforchaoticsystems AT fangfangzhang anapproachoftrackingcontrolforchaoticsystems AT jinxing approachoftrackingcontrolforchaoticsystems AT fangfangzhang approachoftrackingcontrolforchaoticsystems |