Approximation of irrational transfer function exp (−√S) by Ritz method

Wen Teng Wu; Yen Ping Shih

doi:10.1080/00207727508941806

Approximation of irrational transfer function exp (−√S) by Ritz method

Wen Teng Wu, Yen Ping Shih

College of Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

The irrational transfer function exp (− √ s) which occurs in diffusion processes can be approximated by rational functions derived by using the Ritz method. Comparison of the unit stop responses of the rational function approximates and the original function is illustrated. It is shown that a fourth-order approximate gives satisfactory results.

Original language	English
Pages (from-to)	175-180
Number of pages	6
Journal	International Journal of Systems Science
Volume	6
Issue number	2
DOIs	https://doi.org/10.1080/00207727508941806
Publication status	Published - 1975 Feb

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications

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10.1080/00207727508941806

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abstract = "The irrational transfer function exp (− √ s) which occurs in diffusion processes can be approximated by rational functions derived by using the Ritz method. Comparison of the unit stop responses of the rational function approximates and the original function is illustrated. It is shown that a fourth-order approximate gives satisfactory results.",

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AB - The irrational transfer function exp (− √ s) which occurs in diffusion processes can be approximated by rational functions derived by using the Ritz method. Comparison of the unit stop responses of the rational function approximates and the original function is illustrated. It is shown that a fourth-order approximate gives satisfactory results.

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Approximation of irrational transfer function exp (−√S) by Ritz method

Abstract

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