Stabilization of an Axially Moving String by Nonlinear Boundary Feedback-Reference-Cited by-同舟云学术

Stabilization of an Axially Moving String by Nonlinear Boundary Feedback

Published:1999-03-01 Issue:1 Volume:121 Page:117-121
ISSN:0022-0434
Container-title:Journal of Dynamic Systems, Measurement, and Control
language:en
Short-container-title:

Author:

Fung Rong-Fong¹,Wu Jinn-Wen²,Wu Sheng-Luong¹

Affiliation:

1. Department of Mechanical Engineering, Chung-Yuan Christian University, Chung-Li, Taiwan 32023

2. Department of Mathematics, Chung-Yuan Christian University, Chung-Li, Taiwan 32023

Abstract

In this paper, we consider the system modeled by an axially moving string and a mass-damper-spring (MDS) controller, applied at the right-hand side (RHS) boundary of the string. We are concerned with the nonlinear string and the effect of the control mechanism. We stabilize the system through a proposed boundary velocity feedback control law. Linear and nonlinear control laws through this controller are proposed. In this paper, we find that a linear boundary feedback caused the total mechanical energy of the system to decay an asymptotically, but it fails for an exponential decay. However, a nonlinear boundary feedback controller can stabilize the system exponentially. The asymptotic and exponential stability are verified.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/dynamicsystems/article-pdf/121/1/117/5507854/117_1.pdf

Reference9 articles.

1. Chen, G., and Zhou, J., 1993, Vibration and Damping in Distributed Systems, CRC Press, Florida.

2. Chung C. H. , and TanC. A., 1995, “Active Vibration Control of the Axially Moving String by Wave Cancellation,” ASME Journal of Vibration and Acoustics, Vol. 117, pp. 49–55.

3. Ko¨mura Y. , 1967, “Nonlinear Semi-Groups in Hilbert Space,” Journal of the Mathematical Society of Japan, Vol. 19, No. 4, pp. 493–507.

4. Lee S.-Y. , and MoteC. D., 1996, “Vibration control of an axially moving string by boundary control,” ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL, Vol. 118, pp. 66–74.

5. Morgu¨l O¨. , RaoB. P., and ConradF., 1994, “On the Stabilization of a Cable with a Tip Mass,” IEEE Transactions on Automatic Control, Vol. 39, No. 10, pp. 2140–2145.

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