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Robust Adaptive Control of Nonlinear Translating Beams with a Varying Speed

Authors:Yang Kyung-Jinn, University of Electro-Communications, Japan
Hong Keum-Shik, Pusan National University, Korea, Republic of
Matsuno Fumitoshi, University of Electro-Communications, Japan
Topic:4.2 Mechatronic Systems
Session:Mechatronic Applications
Keywords: Axially moving beam, robust adaptive control, uniform ultimate boundedness, nonlinear spatiotemporally varying tension, Lyapunov method

Abstract

In this paper, the investigational results for a robust adaptive vibration control of a translating tensioned beam with a varying traveling speed are presented. The dynamics of the moving beam are modeled as an Euler-Bernoulli beam, in which the tension applied to the beam is given as a nonlinear spatiotemporally varying function. The moving beam span is divided into two parts, i.e., a controlled span and an uncontrolled span, by a hydraulic touch-roll actuator that is located in the middle section of the beam. The transverse vibration of the controlled span part is suppressed by the actuator under unknown bounded disturbances exerted from the uncontrolled span.