An appropriate discrete-transformation technique for order reduction methodology
Various transformation techniques are known for transforming continuous-time to discrete-time domains and vice-versa, among which only two techniques are used in application frequently. This paper attempts to access both the techniques presenting a suitable consequence of their sole importance. The...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-07-01
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| Series: | Array |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590005622000236 |
| _version_ | 1811340745102065664 |
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| author | Amit Kumar Choudhary Praveen Kumar Santosh Kumar Verma |
| author_facet | Amit Kumar Choudhary Praveen Kumar Santosh Kumar Verma |
| author_sort | Amit Kumar Choudhary |
| collection | DOAJ |
| description | Various transformation techniques are known for transforming continuous-time to discrete-time domains and vice-versa, among which only two techniques are used in application frequently. This paper attempts to access both the techniques presenting a suitable consequence of their sole importance. The assessment of these two techniques is made on the basis of computation of reduced order model of discrete-time interval systems. Approximate models obtained after the transformations lead to the same response, and the outcome in favor of one technique. As a conclusion, the appropriate transformation is mathematically preferred over another based on its simplicity and ease of computation. Examples illustrating the comparisons are accompanied. Eventually, the assessment demonstrated in this article would be helpful to the mathematicians, mathematics educators and researchers working in the area of model order reduction. |
| first_indexed | 2024-04-13T18:46:30Z |
| format | Article |
| id | doaj.art-9cba0169dd834ab7972447f03fec240d |
| institution | Directory Open Access Journal |
| issn | 2590-0056 |
| language | English |
| last_indexed | 2024-04-13T18:46:30Z |
| publishDate | 2022-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Array |
| spelling | doaj.art-9cba0169dd834ab7972447f03fec240d2022-12-22T02:34:34ZengElsevierArray2590-00562022-07-0114100155An appropriate discrete-transformation technique for order reduction methodologyAmit Kumar Choudhary0Praveen Kumar1Santosh Kumar Verma2Department of Electrical Engineering, BIT Sindri, Dhanbad 828123, Jharkhand, India; Corresponding author.Department of Electrical Engineering, BIT Sindri, Dhanbad 828123, Jharkhand, IndiaDepartment of Electronics & Instrumentation, Assam Energy Institute, Sivasagar 785697, Assam, IndiaVarious transformation techniques are known for transforming continuous-time to discrete-time domains and vice-versa, among which only two techniques are used in application frequently. This paper attempts to access both the techniques presenting a suitable consequence of their sole importance. The assessment of these two techniques is made on the basis of computation of reduced order model of discrete-time interval systems. Approximate models obtained after the transformations lead to the same response, and the outcome in favor of one technique. As a conclusion, the appropriate transformation is mathematically preferred over another based on its simplicity and ease of computation. Examples illustrating the comparisons are accompanied. Eventually, the assessment demonstrated in this article would be helpful to the mathematicians, mathematics educators and researchers working in the area of model order reduction.http://www.sciencedirect.com/science/article/pii/S2590005622000236Discrete-time domainError analysisInterval systemsReduction methodologyStep responseTransformation techniques |
| spellingShingle | Amit Kumar Choudhary Praveen Kumar Santosh Kumar Verma An appropriate discrete-transformation technique for order reduction methodology Array Discrete-time domain Error analysis Interval systems Reduction methodology Step response Transformation techniques |
| title | An appropriate discrete-transformation technique for order reduction methodology |
| title_full | An appropriate discrete-transformation technique for order reduction methodology |
| title_fullStr | An appropriate discrete-transformation technique for order reduction methodology |
| title_full_unstemmed | An appropriate discrete-transformation technique for order reduction methodology |
| title_short | An appropriate discrete-transformation technique for order reduction methodology |
| title_sort | appropriate discrete transformation technique for order reduction methodology |
| topic | Discrete-time domain Error analysis Interval systems Reduction methodology Step response Transformation techniques |
| url | http://www.sciencedirect.com/science/article/pii/S2590005622000236 |
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