ID 112118
Author
Ito, Daisuke University of Tokushima
Kousaka, Takuji Oita University
Imura, Jun'ichi Tokyo Institute of Technology
Aihara, Kazuyuki University of Tokyo
Keywords
Controlling chaos
hybrid system
switching threshold
Content Type
Journal Article
Description
We try to stabilize unstable periodic orbits embedded in a given chaotic hybrid dynamical system by a perturbation of a threshold value. In conventional chaos control methods, a control input is designed by state-feedback, which is proportional to the difference between the target orbit and the current state, and it is applied into a specific system parameter or the state as a small perturbation. During a transition state, the control system consumes a certain control energy given by integration of such perturbations. In our method, we change the threshold value dynamically to control the chaotic orbit. Unlike the OGY method and the delayed feedback control, no actual control input is added into the system. The state-feedback is utilized only to determine the dynamic threshold value, thus the orbit starting from the current threshold value reaches the next controlled threshold value without any control energy. We obtain the variation of the threshold value from the composite Poincaré map, and the controller is designed by the linear feedback theory with this variation. We demonstrate this method in simple hybrid chaotic systems and show its control performances with evaluating basins of attraction.
Journal Title
International Journal of Bifurcation and Chaos
ISSN
02181274
17936551
NCID
AA10810319
Publisher
World Scientific
Volume
24
Issue
10
Start Page
1450125
Published Date
2014-10
Rights
Electronic version of an article published as International Journal of Bifurcation and Chaos Vol. 24, No. 10, 2014, 1450125, DOI: 10.1142/S0218127414501259 © World Scientific Publishing Company, https://www.worldscientific.com/worldscinet/ijbc
EDB ID
278077
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
Author
departments
Center for Administration of Information Technology