Noncolocated Control of a Damped String Using Time Delay

[+] Author and Article Information
B. Yang

Department of Mechanical Engineering, University of Southern California, Los Angeles, CA 90089-1453

J. Dyn. Sys., Meas., Control 114(4), 736-740 (Dec 01, 1992) (5 pages) doi:10.1115/1.2897752 History: Received August 20, 1990; Revised March 10, 1992; Online March 17, 2008


Recent research studies noncolocated control of flexible mechanical systems using time delay. The developments are limited to undamped flexible systems; damped flexible systems have not been considered. This paper investigates noncolocated vibration control of a viscously damped string using time delay. The control system is formulated in the Laplace transform domain. Based on the understanding of the system eigenstructure, a modified Bode plot of the feedback controller is introduced in a design region. The Bode plot designed, along with a specific time delay in the feedback loop, proper sensor and actuator positions, and proper control gain, guarantees stabilization of vibration of the damped string.

Copyright © 1992 by The American Society of Mechanical Engineers
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