Bilinear approximation of general non-linear dynamic systems with linear inputs
作者:
SPYROS SVORONOS,
GEORGE STEPHANOPOULOS,
RUTHERFORD ARIS,
期刊:
International Journal of Control
(Taylor Available online 1980)
卷期:
Volume 31,
issue 1
页码: 109-126
ISSN:0020-7179
年代: 1980
DOI:10.1080/00207178008961032
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Two methods are developed by which control systems that are non-linear in the state variables but linear in the inputs may be approximated by bilinear systems in the neighbourhood of a steady state. For both methods the approximations can be made successively more accurate at the expense of higher dimensionality, and can be a considerable improvement over the linear approximation. The resulting dimensionalities are determined as functions of the accuracy. Illustrative examples are given, and finally the two models are compared. Both are found to have considerable merit.
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