|
VIBRATION CONTROL OF AN AXIALLY MOVING STRIP BY A NON-LINEAR BOUNDARY CONTROL
Ji-Yun Choia, Keum-Shik Hongb*, and Chang-Do Huha
a Department of Mechanical and Intelligent Systems Engineering, Pusan National
University, 30 Changjeon-dong, Keumjeong-ku, Pusan, 609-735, Korea.
Tel: +82-51-510-1481, Fax: +82-51-514-0685, Email: pdecontrol@orgio.net
b School of Mechanical Engineering, Pusan National University, 30 Changjeon-dong
Kumjeong-ku Pusan 609-735, Korea. Tel: +82-51-510-2454, Fax: + 82-51-514-0685
Email: kshong@hyowon.pusan.ac.kr
* The author to whom all correspondence should be addressed
In this paper, an active vibration control of the translating steel strip in the zinc galvanizing line is investigated. The unwanted vibration of the strip deteriorate the uniformity of the deposited mass on the surfaces of the steel strip and the consumption of zinc. The translating steel strip is modelled as a moving belt equation by using Hamilton’s principle is considered as a Lyapunov function candidate. A nonlinear boundary control law that assures the exponential stability of the closed loop system is derived. The existence of a closed-loop solution is shown by proving that the closed-loop dynamics is dissipative. Simulation results are provided.
Keywords: asymptotic stability, axially moving system, boundary control, hyperbolic partial differential equation, Lyapunov method, nonlinear vibrations, zinc galvanizing line
Session slot T-Tu-E19: Process Quality, Monitoring & Control/Area code 1c : Manufacturing Modelling, Management and Control
 | 