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
fDate :
9/1/2000 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
