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Proceedings Paper

Lyapunov-based control of a base-excited structure
Author(s): Henri P. Gavin
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Paper Abstract

This study illustrates the behavior of a closed-loop vibration control system making use of electrorheological (ER) devices. Material properties of ER suspensions (primarily the yield stress, and visco-elastic properties) increase by several orders of magnitude when subjected to strong electrical fields (kV/mm). Because the electric field controls the yielding behavior of ER materials, ER devices are inherently non- linear. A Lyapunov-based controller is designed to attenuate seismically-induced structural motions. Using this controller, the control decisions are independent of the structural model, and are therefore robust to modeling errors. Structures operated according to the control rule maintain an anti- resonant condition. This is demonstrated in the time-domain and the frequency domain. A numerical study, incorporating an evolutionary model for the ER device illustrates the robustness of this control method to model uncertainties.

Paper Details

Date Published: 17 June 1998
PDF: 11 pages
Proc. SPIE 3325, Smart Structures and Materials 1998: Smart Systems for Bridges, Structures, and Highways, (17 June 1998); doi: 10.1117/12.310606
Show Author Affiliations
Henri P. Gavin, Duke Univ. (United States)

Published in SPIE Proceedings Vol. 3325:
Smart Structures and Materials 1998: Smart Systems for Bridges, Structures, and Highways
S.-C. Liu, Editor(s)

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