Time delayed control of classically damped structural systems
作者:
FIRDAUSE. UDWADIA,
RAVI KUMAR,
期刊:
International Journal of Control
(Taylor Available online 1994)
卷期:
Volume 60,
issue 5
页码: 687-713
ISSN:0020-7179
年代: 1994
DOI:10.1080/00207179408921490
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The effects of time delays on collocated as well as non-collocated point control of classically damped discrete dynamic systems have been examined. Controllers of PID type nave been considered. Analytical estimates of time delays to maintain/obtain stability for small gains have been given. Several new results dealing with the effect of time delays on collocated and non-collocated control designs are obtained. It is shown that undamped structural systems cannot be stabilized with pure velocity (or integral) feedback without time delays while using a controller that is not collocated with the sensor, when the mass matrix is diagonal. However, with the appropriate choice of time delays, for certain classes of commonly occurring structural systems, stable non-collocated control can be achieved. Analytical results providing the upper bound on the controller's gain necessary for stability have been presented. The theoretical results obtained are illustrated and verified with numerical examples.
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