Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation Technique
Model reduction for reducing a high-order transfer function to one of low order is based on a combination of Pade approximation to calculate the numerator coefficients and modified Routh array to calculate the denominator coefficients of reduced-order models. The purpose of this paper is to show th...
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| Format: | Article |
| Language: | Arabic |
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Mustansiriyah University/College of Engineering
2010-06-01
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| Series: | Journal of Engineering and Sustainable Development |
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| Online Access: | https://jeasd.uomustansiriyah.edu.iq/index.php/jeasd/article/view/1474 |
| _version_ | 1828134714176700416 |
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| author | Nasir. A. Al-awad |
| author_facet | Nasir. A. Al-awad |
| author_sort | Nasir. A. Al-awad |
| collection | DOAJ |
| description |
Model reduction for reducing a high-order transfer function to one of low order is based on a combination of Pade approximation to calculate the numerator coefficients and modified Routh array to calculate the denominator coefficients of reduced-order models. The purpose of this paper is to show the combination of Pade and Routh methods satisfied both the transient and steady-state parts of time response for reduced models. Many steps by using a computer algorithm for evaluating the numerator and denominator coefficients of the reduced model are developed. It is shown that the time response of the proposed model more closely follows the original system response than those of the other models. Several examples are used to illustrate the procedure and to test the viability of such an approach to model reduction.
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| first_indexed | 2024-04-11T17:37:59Z |
| format | Article |
| id | doaj.art-b29e3dd94567443bb05c854d7588f1ba |
| institution | Directory Open Access Journal |
| issn | 2520-0917 2520-0925 |
| language | Arabic |
| last_indexed | 2024-04-11T17:37:59Z |
| publishDate | 2010-06-01 |
| publisher | Mustansiriyah University/College of Engineering |
| record_format | Article |
| series | Journal of Engineering and Sustainable Development |
| spelling | doaj.art-b29e3dd94567443bb05c854d7588f1ba2022-12-22T04:11:33ZaraMustansiriyah University/College of EngineeringJournal of Engineering and Sustainable Development2520-09172520-09252010-06-01142Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation TechniqueNasir. A. Al-awad 0Computer & Software Dept., College of Engineering, Al-Mustansiriyah University, Baghdad, Iraq Model reduction for reducing a high-order transfer function to one of low order is based on a combination of Pade approximation to calculate the numerator coefficients and modified Routh array to calculate the denominator coefficients of reduced-order models. The purpose of this paper is to show the combination of Pade and Routh methods satisfied both the transient and steady-state parts of time response for reduced models. Many steps by using a computer algorithm for evaluating the numerator and denominator coefficients of the reduced model are developed. It is shown that the time response of the proposed model more closely follows the original system response than those of the other models. Several examples are used to illustrate the procedure and to test the viability of such an approach to model reduction. https://jeasd.uomustansiriyah.edu.iq/index.php/jeasd/article/view/1474Reduction of Continuous SystemsPade Approximation TechniqueModified Routh Array |
| spellingShingle | Nasir. A. Al-awad Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation Technique Journal of Engineering and Sustainable Development Reduction of Continuous Systems Pade Approximation Technique Modified Routh Array |
| title | Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation Technique |
| title_full | Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation Technique |
| title_fullStr | Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation Technique |
| title_full_unstemmed | Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation Technique |
| title_short | Model Reduction of Continuous Systems by Modified Routh Array and Pade Approximation Technique |
| title_sort | model reduction of continuous systems by modified routh array and pade approximation technique |
| topic | Reduction of Continuous Systems Pade Approximation Technique Modified Routh Array |
| url | https://jeasd.uomustansiriyah.edu.iq/index.php/jeasd/article/view/1474 |
| work_keys_str_mv | AT nasiraalawad modelreductionofcontinuoussystemsbymodifiedroutharrayandpadeapproximationtechnique |