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Solution of linear two-point boundary value problems via Fourier series and application to optimal control of linear systems

✍ Scribed by Mohsen Razzaghi; Alireza Tahai; Abdollah Arabshahi

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 480 KB
Volume: 326
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(89)90049-5

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✦ Synopsis

The transformation matrix reIating the back vector to the current time vector for the Fourier series is derived and utilized to solve the linear two-point boundary value problem. This approach can be applied to obtain the optimal control of linear systems subject to quadratic cost criteria. Illustrative examples are given.

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