Application of general discrete orthogonal polynomials to optimal-control systems
作者:
TSU-TIAN LEE,
YUH-FENG TSAY,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 43,
issue 5
页码: 1375-1386
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933545
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The shift-transformation matrix of general discrete orthogonal polynomials is introduced. General discrete orthogonal polynomials are adopted to obtain the modified discrete Euler-Lagrange equations. Then general discrete orthogonal polynomials are applied to simplify the discrete Euler-Lagrange equations into a set of linear algebraic ones for the approximation of state and control variables of digital systems. An example is included to demonstrate the simplicity and applicability of the method. Also, a comparison of the results obtained via several classical discrete orthogonal polynomials for the same problem is given.
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