| ID | 110693 |
| Author |
Ueta, Tetsushi
Faculty of Engineering, The University of Tokushima
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Kawakami, Hiroshi
Faculty of Engineering, The University of Tokushima
Tokushima University Educator and Researcher Directory
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| Keywords | controlling chaos
Poincaré mapping
stabilization
destabilization
|
| Content Type |
Journal Article
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| Description | We propose a stabilization method of unstable periodic orbits embedded in a chaotic attractor of continuous-time system by using discrete state feedback controller. The controller is designed systematically by the Poincaré mapping and its derivatives. Although the output of the controller is applied periodically to system parameter as small perturbations discontinuously, the controlled orbit accomplishes C0. As the stability of a specific orbit is completely determined by the design of controller, we can also use the method to destabilize a stable periodic orbit. The destabilization method may be effectively applied to escape from a local minimum in various optimization problems. As an example of the stabilization and destabilization, some numerical results of Duffing's equation are illustrated.
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| Journal Title |
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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| ISSN | 09168508
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| NCID | AA10826239
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| Publisher | The Institute of Electronics, Information and Communication Engineers
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| Volume | E78-A
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| Issue | 6
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| Start Page | 708
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| End Page | 714
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| Sort Key | 708
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| Published Date | 1995-06-25
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| Remark | (c)1995 The Institute of Electronics, Information and Communication Engineers
IEICE Transactions Online TOP：http://search.ieice.org/ |
| EDB ID | |
| URL ( Publisher's Version ) | |
| FullText File | |
| language |
eng
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| TextVersion |
Publisher
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| departments |
Center for Administration of Information Technology
Science and Technology
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