Analysis and optimal control of time-varying systems via generalized orthogonal polynomials
作者:
MAW-LING WANG,
RONG-YEU CHANG,
SHWU-YIEN YANG,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 44,
issue 4
页码: 895-910
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933640
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The method or generalized orthogonal polynomials (GOP) is applied to the analysis and optimal control of time-varying systems. The proposed GOP can represent all kinds of individual orthogonal-polynomial and non-orthogonal Taylor series. The operational matrix for the forward and backward integration of the generalized orthogonal polynomials, and the operational matrix of the product of r' and the generalized orthogonal-polynomial vector are derived and applied to time-varying systems. By using these three kinds of operational matrices, the computational algorithm for calculating the expansion coefficients is very simple and effective. Three satisfactory examples illustrate the usefulness of the method.
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