An improvement of Gamma approximation for reduction of continuous interval systems
In recent, modeling practical systems as interval systems is gaining more attention of control researchers due to various advantages of interval systems. This research work presents a new approach for reducing the high-order continuous interval system (HOCIS) utilizing improved Gamma approximation....
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-07-01
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| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/120111/PDF/art06.pdf |
| _version_ | 1828330505423028224 |
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| author | Jagadish Kumar Bokam Vinay Pratap Singh Ramesh Devarapalli Fausto Pedro García Márquez |
| author_facet | Jagadish Kumar Bokam Vinay Pratap Singh Ramesh Devarapalli Fausto Pedro García Márquez |
| author_sort | Jagadish Kumar Bokam |
| collection | DOAJ |
| description | In recent, modeling practical systems as interval systems is gaining more attention of control researchers due to various advantages of interval systems. This research work presents a new approach for reducing the high-order continuous interval system (HOCIS) utilizing improved Gamma approximation. The denominator polynomial of reduced-order continuous interval model (ROCIM) is obtained using modified Routh table, while the numerator polynomial is derived using Gamma parameters. The distinctive features of this approach are: (i) It always generates a stable model for stable HOCIS in contrast to other recent existing techniques; (ii) It always produces interval models for interval systems in contrast to other relevant methods, and, (iii) The proposed technique can be applied to any system in opposite to some existing techniques which are applicable to second-order and third-order systems only. The accuracy and effectiveness of the proposed method are demonstrated by considering test cases of single-inputsingle- output (SISO) and multi-input-multi-output (MIMO) continuous interval systems. The robust stability analysis for ROCIM is also presented to support the effectiveness of proposed technique. |
| first_indexed | 2024-04-13T20:40:22Z |
| format | Article |
| id | doaj.art-08f2e32603f74672895afdf6e7bb7762 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-13T20:40:22Z |
| publishDate | 2021-07-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-08f2e32603f74672895afdf6e7bb77622022-12-22T02:30:52ZengPolish Academy of SciencesArchives of Control Sciences1230-23842021-07-01vol. 31No 2347373https://doi.org/10.24425/acs.2021.137422An improvement of Gamma approximation for reduction of continuous interval systemsJagadish Kumar Bokam0Vinay Pratap Singh1Ramesh Devarapalli2https://orcid.org/0000-0003-4246-7728Fausto Pedro García Márquez3https://orcid.org/0000-0002-9245-440XDepartment of Electrical Electronics and Communication Engineering, Gandhi Institute of Technology and Management (Deemed to be University), Visakhapatnam, 530045, Andhra Pradesh, IndiaDepartment of Electrical Engineering, Malaviya National Institute of Technology Jaipur, IndiaDepartment of Electrical Engineering, BITSindri, Dhanbad, JharkhandIngenium Research Group, University of Castilla-La Mancha, SpainIn recent, modeling practical systems as interval systems is gaining more attention of control researchers due to various advantages of interval systems. This research work presents a new approach for reducing the high-order continuous interval system (HOCIS) utilizing improved Gamma approximation. The denominator polynomial of reduced-order continuous interval model (ROCIM) is obtained using modified Routh table, while the numerator polynomial is derived using Gamma parameters. The distinctive features of this approach are: (i) It always generates a stable model for stable HOCIS in contrast to other recent existing techniques; (ii) It always produces interval models for interval systems in contrast to other relevant methods, and, (iii) The proposed technique can be applied to any system in opposite to some existing techniques which are applicable to second-order and third-order systems only. The accuracy and effectiveness of the proposed method are demonstrated by considering test cases of single-inputsingle- output (SISO) and multi-input-multi-output (MIMO) continuous interval systems. The robust stability analysis for ROCIM is also presented to support the effectiveness of proposed technique.https://journals.pan.pl/Content/120111/PDF/art06.pdfcontinuous interval systemskharitonov polynomialsrouth approximationmodellingsiso systemsmimo systems |
| spellingShingle | Jagadish Kumar Bokam Vinay Pratap Singh Ramesh Devarapalli Fausto Pedro García Márquez An improvement of Gamma approximation for reduction of continuous interval systems Archives of Control Sciences continuous interval systems kharitonov polynomials routh approximation modelling siso systems mimo systems |
| title | An improvement of Gamma approximation for reduction of continuous interval systems |
| title_full | An improvement of Gamma approximation for reduction of continuous interval systems |
| title_fullStr | An improvement of Gamma approximation for reduction of continuous interval systems |
| title_full_unstemmed | An improvement of Gamma approximation for reduction of continuous interval systems |
| title_short | An improvement of Gamma approximation for reduction of continuous interval systems |
| title_sort | improvement of gamma approximation for reduction of continuous interval systems |
| topic | continuous interval systems kharitonov polynomials routh approximation modelling siso systems mimo systems |
| url | https://journals.pan.pl/Content/120111/PDF/art06.pdf |
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