Boundary control of a translating tensioned beam with varying speed

Author

Yang, Kyung-Jinn ; Hong, Keum-Shik ; Matsuno, Fumitoshi

Author_Institution

Mech. Eng. & Intelligent Syst. Dept., Univ. of Electro-Commun., Tokyo, Japan

Volume

10

Issue

5

fYear

2005

Firstpage

594

Lastpage

597

Abstract

The investigational results for an active vibration control of a translating tensioned beam with a varying traveling speed are presented. The dynamics of beam and actuator is modeled via the extended Hamilton´s principle. In a proper mathematical manner, the Lyapunov method is employed to design a boundary control law for ensuring the vibration reduction of the nonlinear time-varying system and also to ensure the exponential stability of the closed-loop system.

Keywords

Lyapunov methods; asymptotic stability; beams (structures); closed loop systems; nonlinear control systems; time-varying systems; vibration control; Lyapunov method; active vibration control; boundary control; closed-loop system; exponential stability; extended Hamilton principle; nonlinear time-varying system; translating tensioned beam; varying speed; Control systems; Force control; Hydraulic actuators; Lyapunov method; Mechanical engineering; Nonlinear control systems; Nonlinear dynamical systems; Stability; Time varying systems; Vibration control; Axially moving continua; Lyapunov method; boundary control; stability;

fLanguage

English

Journal_Title

Mechatronics, IEEE/ASME Transactions on

Publisher

ieee

ISSN

1083-4435

Type

jour

DOI

10.1109/TMECH.2005.856107

Filename

1525025