Analysis and parameter estimation of bilinear systems via Chebyshev polynomials

The operational properties of the integration and product of Chebyshev polynomials are used in the analysis of bilinear systems by the approximation of time functions by truncated Chebyshev series. The operational properties are also applied to determine the unknown parameters of a general bilinear...

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Bibliographic Details
Published in:Journal of the Franklin Institute 1984, Vol.317 (6), p.373-382
Main Authors: Liu, Cheng-Chiian, Shih, Yen-Ping
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
System theory
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Summary:The operational properties of the integration and product of Chebyshev polynomials are used in the analysis of bilinear systems by the approximation of time functions by truncated Chebyshev series. The operational properties are also applied to determine the unknown parameters of a general bilinear system from the input-output data. Examples with excellent results are given.
ISSN:0016-0032
1879-2693
DOI:10.1016/0016-0032(84)90022-X