Paper Abstract and Keywords |
Presentation |
2004-09-14 14:30
Algebraic Expression of Verification Region for Describing Function using Groebner base Masakazu Yagi, Takashi Hisakado (Kyoto Univ.), Kohshi Okumura (hiroshima Inst. of Tech.) |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
The describing function is one of the most common methods of dealing with nonlinear control systems. The method is known as a tool for the analysis of periodic phenomena.However, the results obtained by this method are only approximate because the high frequency components of the oscillations are usually ignored. To justify the describing functions, many researchers have proposed efficient methods for the estimation of the error bounds for the describing functions. However, the dependence of the bounds on parameter values is not clear because the error bounds are obtained only numerically.
This paper presents a pure algebraic method of error-estimation based on Groebner bases. We can obtain the algebraic representation of error bounds for the describing functions using Groebner base. Because the algebraic representations with system parameters are obtained, we can clarify the global behavior of the error bounds in parameter space. Further, we propose a modified method which is well-suited to Groebner base. We confirm that the modified method improves the estimation considerably. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Groebner base / Describing Function / Verification / Algebraic Expression / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 104, no. 295, NLP2004-50, pp. 61-66, Sept. 2004. |
Paper # |
NLP2004-50 |
Date of Issue |
2004-09-07 (CAS, NLP) |
ISSN |
Print edition: ISSN 0913-5685 |
Download PDF |
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Conference Information |
Committee |
NLP CAS |
Conference Date |
2004-09-13 - 2004-09-14 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kyoto Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
(TBD) |
Paper Information |
Registration To |
NLP |
Conference Code |
2004-09-NLP-CAS |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Algebraic Expression of Verification Region for Describing Function using Groebner base |
Sub Title (in English) |
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Keyword(1) |
Groebner base |
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Describing Function |
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Verification |
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Algebraic Expression |
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1st Author's Name |
Masakazu Yagi |
1st Author's Affiliation |
Kyoto University (Kyoto Univ.) |
2nd Author's Name |
Takashi Hisakado |
2nd Author's Affiliation |
Kyoto University (Kyoto Univ.) |
3rd Author's Name |
Kohshi Okumura |
3rd Author's Affiliation |
hiroshima Institute of Technology (hiroshima Inst. of Tech.) |
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Speaker |
Author-1 |
Date Time |
2004-09-14 14:30:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
CAS2004-38, NLP2004-50 |
Volume (vol) |
vol.104 |
Number (no) |
no.293(CAS), no.295(NLP) |
Page |
pp.61-66 |
#Pages |
6 |
Date of Issue |
2004-09-07 (CAS, NLP) |
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