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Proceedings Paper

Active vibration control of axially moving continua
Author(s): Lilong Cai
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Paper Abstract

Velocity feedback based actin vibration control of axially moving continua, which include mechanical systems such as high-speed magnetic and paper tapes and band saws, is presented in this paper. Lyapunov direct method is used to prove the asymptotic stability of the closed- loop system under the proposed control law. The stability analysis is performed directly on the system's partial differential equation so that no approximation is involved. Thus the 'spillover' problem, which is caused by using finite dimensional (truncated) models to approximate the infinite dimensional models of distributed parameter systems, is eliminated. The proposed control law can be implemented in either distributed or discrete forms. The sufficient condition for stabilizing the system using non-collocated sensors and actuators is also given. A numerical example of an axially moving string is presented for illustration.

Paper Details

Date Published: 28 August 1995
PDF: 6 pages
Proc. SPIE 2620, International Conference on Intelligent Manufacturing, (28 August 1995); doi: 10.1117/12.217466
Show Author Affiliations
Lilong Cai, Hong Kong Univ. of Science and Technology (Hong Kong)

Published in SPIE Proceedings Vol. 2620:
International Conference on Intelligent Manufacturing
Shuzi Yang; Ji Zhou; Cheng-Gang Li, Editor(s)

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