Title :
Research on chaotic control of duffing system
Author :
Lan, Chao-Feng ; Yang, De-Sen ; Shi, Sheng-Guo ; Dong, Lei
Author_Institution :
Nat. Lab. of Underwater Acoust. Technol., Harbin Eng. Univ., Harbin, China
Abstract :
This paper indicates the chaotic essence of Duffing system and qualitatively selects the range of the amplitude parameter and the frequency parameter when system is in the state of chaos, which can effectively control the system to the desired state of chaos by making the global bifurcation diagram, phase diagram and poincare sections and analyzing its movement behavior with periodic excitation force method. The results show that the optional parameter region and the band of chaos will be greater and wider, and the chaotic phenomenon will be more evident by increasing the components of the external excitation frequency which the system imposes.
Keywords :
bifurcation; chaos; nonlinear control systems; time-varying systems; Duffing system; amplitude parameter; chaotic control; external excitation frequency; frequency parameter; global bifurcation diagram; periodic excitation force method; phase diagram; Bifurcation; Chaos; Control systems; Equations; Feedback control; Force control; Frequency; Motion control; Nonlinear dynamical systems; Oscillators; Duffing system; chaotic control; periodic excitation force;
Conference_Titel :
Information and Automation (ICIA), 2010 IEEE International Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-5701-4
DOI :
10.1109/ICINFA.2010.5512099
