Regular Papers

International Journal of Control, Automation and Systems 2004; 2(1): 55-67

© The International Journal of Control, Automation, and Systems

Boundary Control of an Axially Moving Belt System

Keum-Shik Hong, Chang-Won Kim, and Kyung-Tae Hong

School of Mechanical Engineering, Pusan National University

Abstract

In this paper, an active vibration control of a translating steel strip in a zinc galvanizing line is investigated. The control objectives in the galvanizing line are to improve the uniformity of the zinc deposit on the strip surfaces and to reduce the zinc consumption. The translating steel strip is modeled as a moving belt equation by using Hamilton’s principle for systems with moving mass. The total mechanical energy of the strip is considered to be 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

Article

Regular Papers

International Journal of Control, Automation and Systems 2004; 2(1): 55-67

Published online March 1, 2004

Copyright © The International Journal of Control, Automation, and Systems.

Boundary Control of an Axially Moving Belt System

Keum-Shik Hong, Chang-Won Kim, and Kyung-Tae Hong

School of Mechanical Engineering, Pusan National University

Abstract

In this paper, an active vibration control of a translating steel strip in a zinc galvanizing line is investigated. The control objectives in the galvanizing line are to improve the uniformity of the zinc deposit on the strip surfaces and to reduce the zinc consumption. The translating steel strip is modeled as a moving belt equation by using Hamilton’s principle for systems with moving mass. The total mechanical energy of the strip is considered to be 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

IJCAS
June 2024

Vol. 22, No. 6, pp. 1761~2054

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