Title :
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
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;
Conference_Titel :
SICE-ICASE, 2006. International Joint Conference
Conference_Location :
Busan
Print_ISBN :
89-950038-4-7
Electronic_ISBN :
89-950038-5-5
DOI :
10.1109/SICE.2006.315321
