Effect of Nonlinearity Caused by Friction on a Negative Stiffness Control System

Author

Shahadat, M.M.Z. ; Mizuno, Takayuki ; Ishino, Y. ; Takasaki, M.

Author_Institution

Dept. of Mech. Eng., Saitama Univ., Saitama, Japan

Volume

22

Issue

4

fYear

2014

fDate

Jul-14

Firstpage

1385

Lastpage

1395

Abstract

The effect of friction on a negative stiffness control system is investigated. The negative stiffness control system is used to obtain zero compliance needed for a vibration isolation system. However, the performance of a negative stiffness control system is significantly affected by friction. In this paper, the friction-induced limit cycle in a negative stiffness control system is identified theoretically through describing function approach. Moreover, the relationship between the magnitude of the control parameters used in designing the negative stiffness controller and the behaviors of the induced limit cycle is determined. Finally, the theoretical limit cycle is verified with an experimental limit cycle measured by the time response to the self-oscillation of the system.

Keywords

control nonlinearities; control system synthesis; elasticity; friction; limit cycles; oscillations; vibration isolation; zero assignment; control parameters; friction-induced limit cycle; induced limit cycle behaviors; magnitude; negative stiffness control system; negative stiffness controller design; nonlinearity; self-oscillation; time response; vibration isolation system; zero compliance; Actuators; Equations; Force; Friction; Limit-cycles; Mathematical model; Vibrations; Coulomb friction; limit cycle; negative stiffness; nonlinearity; zero compliance; zero compliance.;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/TCST.2013.2286815

Filename

6697861