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Observability and stabilization of the vibrating string equipped with bouncing point sensors and actuators
Author(s) -
Khapalov A. Y.
Publication year - 2001
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.256
Subject(s) - observability , string (physics) , control theory (sociology) , damper , actuator , point (geometry) , displacement (psychology) , mathematics , simple (philosophy) , computer science , control engineering , engineering , geometry , artificial intelligence , control (management) , mathematical physics , psychology , philosophy , epistemology , psychotherapist
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.