The effect of velocity feedback control with time delay on nonlinear vibrating system

Author

Yanying Zhao ; Ruming Yang

Author_Institution

Sch. of Aircraft Eng., Nanchang Hangkong Univ., Nanchang, China

fYear

2014

Firstpage

4194

Lastpage

4200

Abstract

In this paper, a mass spring vibrating system with cubic nonlinear stiffness is studied. The delayed feedback control is applied to control the vibration of the system when the primary resonance occurs. The method of multiple scales is employed to obtain the approximate solution of the system. The effects of damp coefficient, nonlinear stiffness coefficient, gain and time delay on amplitude frequency response curves of the system is analyzed. The stability of the system is analyzed by Routh-Hurwitz Criterion. The results show that the vibration of the system could be suppressed by choosing appropriate values of time delay. The numerical simulation is agreement with the analytical solutions well.

Keywords

delay systems; feedback; nonlinear control systems; springs (mechanical); velocity control; vibration control; Routh-Hurwitz criterion; amplitude frequency response curves; cubic nonlinear stiffness; damp coefficient; delayed feedback control; gain and time delay; mass spring vibrating system; nonlinear stiffness coefficient; nonlinear vibrating system; time delay system; velocity feedback control effect; vibration control; Aircraft; Automation; Delay effects; Educational institutions; Feedback control; Intelligent control; Vibrations; delayed feedback control; nonlinear; vibration suppression;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2014 11th World Congress on

Type

conf

DOI

10.1109/WCICA.2014.7053418

Filename

7053418