A New Biased Model Order Reduction for Higher Order Interval Systems
This paper presents a new biased method for order reduction of linear continuous time interval systems. This method is based on the Stability equation method, Pade approximation and Kharitonov’s theorem. The higher order interval system is represented by four Kharitonov transfer functions using the...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
VSB-Technical University of Ostrava
2016-01-01
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| Series: | Advances in Electrical and Electronic Engineering |
| Subjects: | |
| Online Access: | http://advances.utc.sk/index.php/AEEE/article/view/1395 |
| _version_ | 1827947578306592768 |
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| author | Mangipudi Siva Kumar Gulshad Begum |
| author_facet | Mangipudi Siva Kumar Gulshad Begum |
| author_sort | Mangipudi Siva Kumar |
| collection | DOAJ |
| description | This paper presents a new biased method for order reduction of linear continuous time interval systems. This method is based on the Stability equation method, Pade approximation and Kharitonov’s theorem. The higher order interval system is represented by four Kharitonov transfer functions using the Kharitonov’s theorem, and then reduced order models are obtained by the general form of the Stability equation method and Pade approximation. The Stability equation method is used to obtain a reduced order denominator polynomial while the Pade approximation is used for reduced order numerator coefficients. This method generates a stable reduced order model if the original higher order interval system is stable. The proposed method is illustrated with the help of typical numerical examples considered from the literature, and these are compared with well-known methods to show the efficacy of the proposed method. |
| first_indexed | 2024-04-09T12:42:08Z |
| format | Article |
| id | doaj.art-ae210936fb2749e2815c1eeb96206904 |
| institution | Directory Open Access Journal |
| issn | 1336-1376 1804-3119 |
| language | English |
| last_indexed | 2024-04-09T12:42:08Z |
| publishDate | 2016-01-01 |
| publisher | VSB-Technical University of Ostrava |
| record_format | Article |
| series | Advances in Electrical and Electronic Engineering |
| spelling | doaj.art-ae210936fb2749e2815c1eeb962069042023-05-14T20:50:10ZengVSB-Technical University of OstravaAdvances in Electrical and Electronic Engineering1336-13761804-31192016-01-0114214515210.15598/aeee.v14i2.1395805A New Biased Model Order Reduction for Higher Order Interval SystemsMangipudi Siva Kumar0Gulshad Begum1Department of EEE Gudlavalleru Engineering College GUDLAVALLERU 521 356. Krishna District.A.P. Ph No:08674-273737Department of EEE Gudlavalleru Engineering College GUDLAVALLERU 521 356. Krishna District.A.P.This paper presents a new biased method for order reduction of linear continuous time interval systems. This method is based on the Stability equation method, Pade approximation and Kharitonov’s theorem. The higher order interval system is represented by four Kharitonov transfer functions using the Kharitonov’s theorem, and then reduced order models are obtained by the general form of the Stability equation method and Pade approximation. The Stability equation method is used to obtain a reduced order denominator polynomial while the Pade approximation is used for reduced order numerator coefficients. This method generates a stable reduced order model if the original higher order interval system is stable. The proposed method is illustrated with the help of typical numerical examples considered from the literature, and these are compared with well-known methods to show the efficacy of the proposed method.http://advances.utc.sk/index.php/AEEE/article/view/1395interval systemkharitonov’s theoremmodel order reductionpade approximationstability equation method. |
| spellingShingle | Mangipudi Siva Kumar Gulshad Begum A New Biased Model Order Reduction for Higher Order Interval Systems Advances in Electrical and Electronic Engineering interval system kharitonov’s theorem model order reduction pade approximation stability equation method. |
| title | A New Biased Model Order Reduction for Higher Order Interval Systems |
| title_full | A New Biased Model Order Reduction for Higher Order Interval Systems |
| title_fullStr | A New Biased Model Order Reduction for Higher Order Interval Systems |
| title_full_unstemmed | A New Biased Model Order Reduction for Higher Order Interval Systems |
| title_short | A New Biased Model Order Reduction for Higher Order Interval Systems |
| title_sort | new biased model order reduction for higher order interval systems |
| topic | interval system kharitonov’s theorem model order reduction pade approximation stability equation method. |
| url | http://advances.utc.sk/index.php/AEEE/article/view/1395 |
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