Anderson Corollary Based on New Approximation Method for Continuous Interval Systems
In this research, a new technique is developed for reducing the order of high-order continuous interval systems. The model denominator is derived using Anderson corollary and Routh table. Numerator is derived by matching the formulated Markov parameters (MPs) and time moments (TMs). Distinctive feat...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9366475/ |
| _version_ | 1818734719516278784 |
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| author | Jagadish Kumar Bokam Vinay Pratap Singh Sharada Nandan Raw Ramesh Devarapalli Fausto Pedro Garcia Marquez |
| author_facet | Jagadish Kumar Bokam Vinay Pratap Singh Sharada Nandan Raw Ramesh Devarapalli Fausto Pedro Garcia Marquez |
| author_sort | Jagadish Kumar Bokam |
| collection | DOAJ |
| description | In this research, a new technique is developed for reducing the order of high-order continuous interval systems. The model denominator is derived using Anderson corollary and Routh table. Numerator is derived by matching the formulated Markov parameters (MPs) and time moments (TMs). Distinctive features of the proposed approach are: (i) New and simpler expressions for MPs and TMs; (ii) Retaining not only TMs but also MPs while deriving the model; (iii) Minimizing computational complexity while preserving the essential characteristics of system; (iv) Ensuring to produce a stable model for stable system; (v) No need to invert the system transfer function denominator while obtaining the TMs and MPs; and (vi) No need to solve a set of complex interval equations while deriving the model. Two single-input-single-output test cases are considered to illustrate the proposed technique. Comparative analysis is also presented based on the results obtained. The simplicity and effectiveness of the proposed technique are established from the simulation outcomes achieved. |
| first_indexed | 2024-12-18T00:09:50Z |
| format | Article |
| id | doaj.art-aee0425d73094c19baa187de5bf6a817 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-18T00:09:50Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-aee0425d73094c19baa187de5bf6a8172022-12-21T21:27:41ZengIEEEIEEE Access2169-35362021-01-019436014361010.1109/ACCESS.2021.30628739366475Anderson Corollary Based on New Approximation Method for Continuous Interval SystemsJagadish Kumar Bokam0Vinay Pratap Singh1https://orcid.org/0000-0002-9279-1086Sharada Nandan Raw2Ramesh Devarapalli3https://orcid.org/0000-0003-4246-7728Fausto Pedro Garcia Marquez4https://orcid.org/0000-0002-9245-440XDepartment of Electrical Engineering, National Institute of Technology, Raipur, IndiaDepartment of Electrical Engineering, Malaviya National Institute of Technology Jaipur, Jaipur, IndiaDepartment of Mathematics, National Institute of Technology, Raipur, IndiaDepartment of Electrical Engineering, BIT Sindri, Dhanbad, IndiaIngenium Research Group, University of Castilla-La Mancha, Albacete, SpainIn this research, a new technique is developed for reducing the order of high-order continuous interval systems. The model denominator is derived using Anderson corollary and Routh table. Numerator is derived by matching the formulated Markov parameters (MPs) and time moments (TMs). Distinctive features of the proposed approach are: (i) New and simpler expressions for MPs and TMs; (ii) Retaining not only TMs but also MPs while deriving the model; (iii) Minimizing computational complexity while preserving the essential characteristics of system; (iv) Ensuring to produce a stable model for stable system; (v) No need to invert the system transfer function denominator while obtaining the TMs and MPs; and (vi) No need to solve a set of complex interval equations while deriving the model. Two single-input-single-output test cases are considered to illustrate the proposed technique. Comparative analysis is also presented based on the results obtained. The simplicity and effectiveness of the proposed technique are established from the simulation outcomes achieved.https://ieeexplore.ieee.org/document/9366475/Interval systemsKharitonov polynomialsMarkov parametertime momentsmodellingRouth approximation |
| spellingShingle | Jagadish Kumar Bokam Vinay Pratap Singh Sharada Nandan Raw Ramesh Devarapalli Fausto Pedro Garcia Marquez Anderson Corollary Based on New Approximation Method for Continuous Interval Systems IEEE Access Interval systems Kharitonov polynomials Markov parameter time moments modelling Routh approximation |
| title | Anderson Corollary Based on New Approximation Method for Continuous Interval Systems |
| title_full | Anderson Corollary Based on New Approximation Method for Continuous Interval Systems |
| title_fullStr | Anderson Corollary Based on New Approximation Method for Continuous Interval Systems |
| title_full_unstemmed | Anderson Corollary Based on New Approximation Method for Continuous Interval Systems |
| title_short | Anderson Corollary Based on New Approximation Method for Continuous Interval Systems |
| title_sort | anderson corollary based on new approximation method for continuous interval systems |
| topic | Interval systems Kharitonov polynomials Markov parameter time moments modelling Routh approximation |
| url | https://ieeexplore.ieee.org/document/9366475/ |
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