DocumentCode
554457
Title
Nonlinear perturbation solution of Duffing equation and the application in control system
Author
Lina Jiang
Author_Institution
Phys. Dept., Liaoning Univ. of Sci. & Technol., Anshan, China
Volume
3
fYear
2011
fDate
12-14 Aug. 2011
Firstpage
1482
Lastpage
1485
Abstract
In this paper, the solutions of Duffing equation were discussed with perturbation method when the system resonance occurs. We calculated vibration solutions about linear equations by harmonic compelling force. We also discussed resonance solution by perturbation method for Duffing equation with damping and without damping force. We use the methods to discuss the inverted pendulum in the control system.
Keywords
nonlinear control systems; nonlinear differential equations; perturbation techniques; vibration control; Duffing equation; control system; harmonic compelling force; inverted pendulum; linear equations; nonlinear perturbation solution; system resonance; vibration solutions; Chaos; Damping; Equations; Force; Mathematical model; Presses; Vibrations; Duffing equation; Forced nonlinear vibration; Perturbation method; inverted pendulum;
fLanguage
English
Publisher
ieee
Conference_Titel
Electronic and Mechanical Engineering and Information Technology (EMEIT), 2011 International Conference on
Conference_Location
Harbin, Heilongjiang, China
Print_ISBN
978-1-61284-087-1
Type
conf
DOI
10.1109/EMEIT.2011.6023328
Filename
6023328
Link To Document