Controller designs with symbolic numeric computations.
| Project/Area Number |
23540139
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Yamaguchi University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
KISHIWAGI Yoshimi 山口大学, 経育学部, 教授 (00152637)
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 数値数式融合 / 数式処理 / 制御系設計 / 数値数式融合算法 / 冪級数展開 / Pade近似 / 数値数式融合計算 |
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| Outline of Final Research Achievements |
Usually, symbolic computations in a computer algebra system do not permit any numerical errors, and floating point arithmetic and power series computations are not allowed. Therefore, so far, applications of symbolic computations for controller designs has been limited.
In this study, we apply symbolic computations to controller designs, utilizing power series computations. We approximate a mathematical expression with its power series expression. It is possible to perform arithmetic operations such as additions, subtractions, multiplications and divisions on power series, which enable us flexible symbolic computations.
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Report
(6 results)
Research Products
(7 results)
