Linear Control of Non-Linear Systems†
作者:
A. T. FULLER,
期刊:
International Journal of Control
(Taylor Available online 1967)
卷期:
Volume 5,
issue 3
页码: 197-243
ISSN:0020-7179
年代: 1967
DOI:10.1080/00207176708921758
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
For some simple relay control systems it is shown that if the control signal input to the relay is made an appropriate linear combination of the state variables, nearly optimum performance can be achieved. The performance index used is integral -square-error; its value when the switching function is linear is calculated and compared with the value obtained when the switching function is the optimal (usually non-linear) one. E.g. for a second-order plant and a command signal which is a step of random magnitude having a rectangular probability distribution, linear switching can give a mean integral-square-error which exceeds the optimal value by less than 1%.
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