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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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