Model reduction using Harris hawk algorithm and moment matching
Physical machine systems are represented in the form of differential equations. These differential equations may be of the higher order and difficult to analyses. Therefore, it is necessary to convert the higher-order to lower order which replicates approximately similar properties of the higher-ord...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-11-01
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| Series: | Archives of Electrical Engineering |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/121590/PDF/art15.pdf |
| _version_ | 1818172467518111744 |
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| author | Aswant Kumar Sharma Dhanesh Kumar Sambariya |
| author_facet | Aswant Kumar Sharma Dhanesh Kumar Sambariya |
| author_sort | Aswant Kumar Sharma |
| collection | DOAJ |
| description | Physical machine systems are represented in the form of differential equations. These differential equations may be of the higher order and difficult to analyses. Therefore, it is necessary to convert the higher-order to lower order which replicates approximately similar properties of the higher-order system (HOS). This article presents a novel approach to reducing the higher-order model. The approach is based on the hunting demeanor of the hawk and escaping of the prey. The proposed method unifies the Harris hawk algorithm and the moment matching technique. The method is applied on single input single output (SISO), multi-input multi-output (MIMO) linear time–invariant (LTI) systems. The proposed method is justified by examining the result. The results are compared using the step response characteristics and response error indices. The response indices are integral square error, integral absolute error, integral time absolute error. The step response characteristics such as rise time, peak, peak time, settling time of the proposed reduced order follows 97%–100% of the original system characteristics. |
| first_indexed | 2024-12-11T19:13:05Z |
| format | Article |
| id | doaj.art-0953bd37d7424cdc9fb2128d40f26d6c |
| institution | Directory Open Access Journal |
| issn | 2300-2506 |
| language | English |
| last_indexed | 2024-12-11T19:13:05Z |
| publishDate | 2021-11-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Electrical Engineering |
| spelling | doaj.art-0953bd37d7424cdc9fb2128d40f26d6c2022-12-22T00:53:43ZengPolish Academy of SciencesArchives of Electrical Engineering2300-25062021-11-01vol. 70No 4959978https://doi.org/10.24425/aee.2021.138272Model reduction using Harris hawk algorithm and moment matchingAswant Kumar Sharma0Dhanesh Kumar Sambariya1Department of Electrical Engineering, Rajasthan Technical University, Rawath Bhata Road 324010, Kota, IndiaDepartment of Electrical Engineering, Rajasthan Technical University, Rawath Bhata Road 324010, Kota, IndiaPhysical machine systems are represented in the form of differential equations. These differential equations may be of the higher order and difficult to analyses. Therefore, it is necessary to convert the higher-order to lower order which replicates approximately similar properties of the higher-order system (HOS). This article presents a novel approach to reducing the higher-order model. The approach is based on the hunting demeanor of the hawk and escaping of the prey. The proposed method unifies the Harris hawk algorithm and the moment matching technique. The method is applied on single input single output (SISO), multi-input multi-output (MIMO) linear time–invariant (LTI) systems. The proposed method is justified by examining the result. The results are compared using the step response characteristics and response error indices. The response indices are integral square error, integral absolute error, integral time absolute error. The step response characteristics such as rise time, peak, peak time, settling time of the proposed reduced order follows 97%–100% of the original system characteristics.https://journals.pan.pl/Content/121590/PDF/art15.pdfharris hawk optimizationisemimomoment matchingmodel order reductionsiso |
| spellingShingle | Aswant Kumar Sharma Dhanesh Kumar Sambariya Model reduction using Harris hawk algorithm and moment matching Archives of Electrical Engineering harris hawk optimization ise mimo moment matching model order reduction siso |
| title | Model reduction using Harris hawk algorithm and moment matching |
| title_full | Model reduction using Harris hawk algorithm and moment matching |
| title_fullStr | Model reduction using Harris hawk algorithm and moment matching |
| title_full_unstemmed | Model reduction using Harris hawk algorithm and moment matching |
| title_short | Model reduction using Harris hawk algorithm and moment matching |
| title_sort | model reduction using harris hawk algorithm and moment matching |
| topic | harris hawk optimization ise mimo moment matching model order reduction siso |
| url | https://journals.pan.pl/Content/121590/PDF/art15.pdf |
| work_keys_str_mv | AT aswantkumarsharma modelreductionusingharrishawkalgorithmandmomentmatching AT dhaneshkumarsambariya modelreductionusingharrishawkalgorithmandmomentmatching |