Adaptive Vibration Control of an Axially Moving String

[+] Author and Article Information
M. S. de Queiroz, D. M. Dawson

Department of Electrical and Computer Engineering, Clemson, South Carolina 29634-0921

C. D. Rahn

Department of Mechanical Engineering, Clemson, South Carolina 29634-0921

F. Zhang

Department of Electrical and Computer Science, Clemson University, Clemson, South Carolina 29634-0921

J. Vib. Acoust 121(1), 41-49 (Jan 01, 1999) (9 pages) doi:10.1115/1.2893946 History: Received November 01, 1997; Revised February 01, 1998; Online February 26, 2008


In this paper, the displacement of an axially moving string is regulated using a control force and a control torque applied to the string via a mechanical guide. Given the hybrid model of the string system (i.e., distributed parameter field equation coupled to discrete actuator equations), Lyapunov-type arguments are utilized to design model-based and adaptive control laws that exponentially and asymptotically stabilize the string displacement, respectively. The proposed control laws are based on measurements of the string displacement, velocity, slope, and slope rate at the mechanical guide. While the model-based controller requires exact knowledge of the actuator/string parameters (e.g., actuator mass and string tension), the adaptive controller estimates the parameters online. Dynamic simulation results demonstrate the vibration damping provided by the control strategies.

Copyright © 1999 by The American Society of Mechanical Engineers
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