DocumentCode
1402046
Title
On impulsive control of a periodically forced chaotic pendulum system
Author
Guan, Zhi-Hong ; Chen, Guanrong ; Ueta, Tetsushi
Author_Institution
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Hubei, China
Volume
45
Issue
9
fYear
2000
fDate
9/1/2000 12:00:00 AM
Firstpage
1724
Lastpage
1727
Abstract
We consider impulsive control of a periodically forced pendulum system which has rich chaos and bifurcation phenomena. A new impulsive control method for chaos suppression of this pendulum system is developed. Some simple sufficient conditions for driving the chaotic state to its zero equilibrium are presented, and some criteria for eventually, exponentially asymptotical stability are established. This work provides a rigorous theoretical analysis to support some early experimental observations on controlling chaos in the periodically forced pendulum system
Keywords
asymptotic stability; bifurcation; chaos; nonlinear dynamical systems; pendulums; asymptotical stability; bifurcation; chaos; chaotic system; impulsive control; periodically forced pendulum; sufficient conditions; Asymptotic stability; Bifurcation; Chaos; Control systems; Displays; Force control; Information science; Petroleum; Stability criteria; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.880633
Filename
880633
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