𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Observability and stabilization of the vibrating string equipped with bouncing point sensors and actuators

✍ Scribed by A. Y. Khapalov


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
153 KB
Volume
24
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

The issues of observability and stabilization are analysed for a vibrating string equipped, respectively, either with a point sensor measuring its displacement or a vertical tie‐down viscous damper. It is well known that the aforementioned properties hold for the stationary devices of these types only when they are placed at the ‘irrational points’ of the string. The latter creates obvious difficulties in applications. In this article we discuss how mobile point sensors and dampers, bouncing in a rather simple fashion between any two points on the string, can be employed instead in a more ‘feasible and robust’ way. Copyright © 2001 John Wiley & Sons, Ltd.