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2015 Fiscal Year Final Research Report

Controller designs with symbolic numeric computations.

Research Project

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Project/Area Number 23540139
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionYamaguchi University

Principal Investigator

KITAMOTO TAKUYA  山口大学, 教育学部, 教授 (30241780)

Co-Investigator(Kenkyū-buntansha) KISHIWAGI Yoshimi  山口大学, 経育学部, 教授 (00152637)
Project Period (FY) 2011-04-28 – 2016-03-31
Keywords数値数式融合 / 数式処理 / 制御系設計
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.

Free Research Field

数式処理

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Published: 2017-05-10  

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