ID 110693
Author
Kawakami, Hiroshi Faculty of Engineering, The University of Tokushima Tokushima University Educator and Researcher Directory
Keywords
controlling chaos
Poincaré mapping
stabilization
destabilization
Content Type
Journal Article
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.
Journal Title
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
ISSN
09168508
NCID
AA10826239
Publisher
The Institute of Electronics, Information and Communication Engineers
Volume
E78-A
Issue
6
Start Page
708
End Page
714
Sort Key
708
Published Date
1995-06-25
Remark
(c)1995 The Institute of Electronics, Information and Communication Engineers
IEICE Transactions Online TOP:http://search.ieice.org/
EDB ID
72632
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Publisher
departments
Center for Administration of Information Technology
Science and Technology