Vibration Control of Axially Moving System with Variable Speed, Tension and Length

Author

Park, Hahn ; Hong, Keum-Shik

Author_Institution

Dept. of Mech. & Intelligent Syst. Eng., Pusan Nat. Univ., Busan

fYear

2006

Firstpage

67

Lastpage

72

Abstract

In this paper, an active vibration control of an axially moving system with varying speed and tension is investigated. The dynamics of the translating string are described by a partial differential equation as a governing equation coupled with ordinary differential equations as a boundary condition. The time rate of change of energy is considered to calculate that of Lyapunov functional. A time varying control law based on Lyapunov´s second method is proposed in stabilizing the transverse vibrations of the system. Exponential stability of the closed-loop system in case of extension is verified

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; partial differential equations; time-varying systems; vibration control; Lyapunov functional; active vibration control; axially moving system; closed-loop system; exponential stability; ordinary differential equations; partial differential equation; time varying control law; transverse vibrations; variable length; variable speed; variable tension; Control systems; Differential equations; Force control; Intelligent systems; Mechanical engineering; Partial differential equations; Stability; Systems engineering and theory; Time varying systems; Vibration control; Axially moving systems; Hamilton´s principle; Lyapunov´s method; exponential stability;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE-ICASE, 2006. International Joint Conference

Conference_Location

Busan

Print_ISBN

89-950038-4-7

Electronic_ISBN

89-950038-5-5

Type

conf

DOI

10.1109/SICE.2006.315321

Filename

4108798