Finite-dimensional servomechanism design for parabolic distributed-parameter systems
作者:
TOSHIHIRO KOBAYASHI,
期刊:
International Journal of Control
(Taylor Available online 1983)
卷期:
Volume 37,
issue 5
页码: 975-993
ISSN:0020-7179
年代: 1983
DOI:10.1080/00207178308933023
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The paper investigates a finite-dimensional servomechanism design for a parabolic distributed-parameter system with constant disturbances. The problem is to design a feedback controller such that the resulting closed-loop system will be exponentially stable and the controlled output will be regulated. With some assumptions with respect to a control operator and an output operator, the paper presents explicit sufficient conditions for the existence of a feedback controller which exponentially stabilizes and regulates the system. A finite-dimensional design procedure of a servomechanism is given and it is shown that the controlled output will converge to the constant reference vector with an arbitrarily assignable exponential decay rate. In the design procedure it is necessary to construct a finite-dimensional state observer in order to estimate the system state from observations.
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