2022 Fiscal Year Final Research Report
Fractional Order System and Control: Application to Modeling and Control of Electrochemical System
| Project/Area Number |
19K04459
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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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| Review Section |
Basic Section 21040:Control and system engineering-related
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| Research Institution | Tokyo Denki University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
井上 淳 東京電機大学, 工学部, 准教授 (20609284)
岩瀬 将美 東京電機大学, 未来科学部, 教授 (50339074)
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| Project Period (FY) |
2019-04-01 – 2023-03-31
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| Keywords | 分数階微分方程式 / 分数階システム / 二次電池 / モデリング / システム同定 / 劣化診断 |
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| Outline of Final Research Achievements |
Frequency response Cole-Cole plots were derived for each condition, based on temperature and degradation (number of cycles). System identification was performed on the frequency responses obtained for each condition using the fractional-order differential model derived previously. The analysis revealed parameters with low sensitivity to temperature and high sensitivity to degradation.
A simple method for calculating the response of a fractional factorial system to a system with exogenous inputs has been developed, and simulations and comparisons between the control response based on a model of a fractional factorial system and experimental values can now be verified. These results have been presented at domestic and international conferences on automatic control. We were able to show examples of applications of fractional factorial systems to modeling and control of electrochemical systems, especially Li-ion rechargeable batteries in this study.
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| Free Research Field |
制御工学
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| Academic Significance and Societal Importance of the Research Achievements |
電気化学系の反応や応答は，制御分野でよく用いられる整数階微分方程式では十分に記述することができないという課題に対して，本研究では分数階微分方程式をモデルとして導入し，リチウムイオン二次電池を対象としたモデリングと劣化診断を実施し，分数階微分方程式で表現されるクラスのシステム制御の一端を切り拓いた．また分数階微分方程式で記述されるシステムの制御応答を簡便に計算する方法を導出し，それによるシミュレーションと実験値の比較検証を行った．これらの成果は今後，分数階システムを対象とした制御理論，制御技術の発展に寄与するものと考える．
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