Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery
This paper deals with a method for the parameter and order identification of a fractional model. In contrast to existing approaches that can either handle noisy observations of the output signal or systems that are not at rest, the proposed method does not have to compromise between these two charac...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/14/1607 |
| _version_ | 1797526646358540288 |
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| author | Oliver Stark Martin Pfeifer Sören Hohmann |
| author_facet | Oliver Stark Martin Pfeifer Sören Hohmann |
| author_sort | Oliver Stark |
| collection | DOAJ |
| description | This paper deals with a method for the parameter and order identification of a fractional model. In contrast to existing approaches that can either handle noisy observations of the output signal or systems that are not at rest, the proposed method does not have to compromise between these two characteristics. To handle systems that are not at rest, the parameter, as well as the order identification, are based on the modulating function method. The novelty of the proposed method is that an optimization-based approach is used for the order identification. Thus, even if only noisy observations of the output signal are available, an approximate identification can be performed. The proposed identification method is, then, applied to identify the parameters and orders of a lithium-ion battery model. The experimental results illustrate the practical usefulness and verify the validity of our approach. |
| first_indexed | 2024-03-10T09:33:17Z |
| format | Article |
| id | doaj.art-434f4a1ed7a14529b9f86489f704071b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T09:33:17Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-434f4a1ed7a14529b9f86489f704071b2023-11-22T04:19:27ZengMDPI AGMathematics2227-73902021-07-01914160710.3390/math9141607Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion BatteryOliver Stark0Martin Pfeifer1Sören Hohmann2Faculty of Electrical Engineering and Information Technology, Institute of Control Systems (IRS), Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, GermanyFaculty of Electrical Engineering and Information Technology, Institute of Control Systems (IRS), Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, GermanyFaculty of Electrical Engineering and Information Technology, Institute of Control Systems (IRS), Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, GermanyThis paper deals with a method for the parameter and order identification of a fractional model. In contrast to existing approaches that can either handle noisy observations of the output signal or systems that are not at rest, the proposed method does not have to compromise between these two characteristics. To handle systems that are not at rest, the parameter, as well as the order identification, are based on the modulating function method. The novelty of the proposed method is that an optimization-based approach is used for the order identification. Thus, even if only noisy observations of the output signal are available, an approximate identification can be performed. The proposed identification method is, then, applied to identify the parameters and orders of a lithium-ion battery model. The experimental results illustrate the practical usefulness and verify the validity of our approach.https://www.mdpi.com/2227-7390/9/14/1607fractional analysislithium-ion batteryparameter and order identification |
| spellingShingle | Oliver Stark Martin Pfeifer Sören Hohmann Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery Mathematics fractional analysis lithium-ion battery parameter and order identification |
| title | Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery |
| title_full | Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery |
| title_fullStr | Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery |
| title_full_unstemmed | Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery |
| title_short | Parameter and Order Identification of Fractional Systems with Application to a Lithium-Ion Battery |
| title_sort | parameter and order identification of fractional systems with application to a lithium ion battery |
| topic | fractional analysis lithium-ion battery parameter and order identification |
| url | https://www.mdpi.com/2227-7390/9/14/1607 |
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