Title :
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
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;
Journal_Title :
Mechatronics, IEEE/ASME Transactions on
DOI :
10.1109/TMECH.2005.856107
