Stability of Active‐Tendon Structural Control with Time Delay
Publication: Journal of Engineering Mechanics
Volume 119, Issue 5
Abstract
In this paper, both analytical and numerical studies of the stability of single‐degree‐of‐freedom systems with active tendon control are presented. In the studies, only an autonomous systems is considered. Prior experimental and analytical work in the area of structural control has shown that time delays are a primary cause of ineffectiveness and instability of the controlled system. Therefore, the very important effect of time delays (including on‐line computation time delay and actuator build‐up time delay) on the control force is taken into account. This is done by using a differential difference equation, or the so‐called retarded functional differential equation. Based on the concept of Liapunov stability and the method of D‐subdivision, the stable and unstable regions are determined analytically. Using numerical simulations, the accuracy of the analytical solutions are verified.
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References
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Information
Published In
Journal of Engineering Mechanics
Volume 119 • Issue 5 • May 1993
Pages: 1017 - 1024
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Jul 2, 1992
Published online: May 1, 1993
Published in print: May 1993
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