Algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variations
The paper deals with the dynamic systems with perturbed parameters described by the families of the third order characteristic polynomials having coefficients within the given intervals of values. The system dynamics is represented in the form of the root locus portrait. The notion of the root locus...
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| Format: | Article |
| Language: | Russian |
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The United Institute of Informatics Problems of the National Academy of Sciences of Belarus
2019-12-01
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| Series: | Informatika |
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| Online Access: | https://inf.grid.by/jour/article/view/885 |
| _version_ | 1797877225100410880 |
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| author | A. A. Nesenchuk |
| author_facet | A. A. Nesenchuk |
| author_sort | A. A. Nesenchuk |
| collection | DOAJ |
| description | The paper deals with the dynamic systems with perturbed parameters described by the families of the third order characteristic polynomials having coefficients within the given intervals of values. The system dynamics is represented in the form of the root locus portrait. The notion of the root locus field of the family is introduced that is the basis for the system stability condition formulation. Root locus portrait configuration peculiarities of the systems of the kind and graphic-analytical approach to their analysis and synthesis serve as the basis for the system characteristic equation parameters calculation algorithm ensuring its robust stability in case of the given system proven unstable. Algorithm is implemented in the graphic-analytical form. System stability investigation and synthesis, in case of necessity, of the new parameters values are performed on the basis of estimation of the family root locus dominating field location character in the roots plane. |
| first_indexed | 2024-04-10T02:13:45Z |
| format | Article |
| id | doaj.art-3c7f4161d1c2487d85dd43d5e4fba95e |
| institution | Directory Open Access Journal |
| issn | 1816-0301 |
| language | Russian |
| last_indexed | 2024-04-10T02:13:45Z |
| publishDate | 2019-12-01 |
| publisher | The United Institute of Informatics Problems of the National Academy of Sciences of Belarus |
| record_format | Article |
| series | Informatika |
| spelling | doaj.art-3c7f4161d1c2487d85dd43d5e4fba95e2023-03-13T08:32:24ZrusThe United Institute of Informatics Problems of the National Academy of Sciences of BelarusInformatika1816-03012019-12-011645162848Algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variationsA. A. Nesenchuk0The United Institute ofInformatics Problems, National Academy of Sciences of BelarusThe paper deals with the dynamic systems with perturbed parameters described by the families of the third order characteristic polynomials having coefficients within the given intervals of values. The system dynamics is represented in the form of the root locus portrait. The notion of the root locus field of the family is introduced that is the basis for the system stability condition formulation. Root locus portrait configuration peculiarities of the systems of the kind and graphic-analytical approach to their analysis and synthesis serve as the basis for the system characteristic equation parameters calculation algorithm ensuring its robust stability in case of the given system proven unstable. Algorithm is implemented in the graphic-analytical form. System stability investigation and synthesis, in case of necessity, of the new parameters values are performed on the basis of estimation of the family root locus dominating field location character in the roots plane.https://inf.grid.by/jour/article/view/885characteristic polynomialdynamic systemparametric variationsroot locus portraitdominating root locus field |
| spellingShingle | A. A. Nesenchuk Algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variations Informatika characteristic polynomial dynamic system parametric variations root locus portrait dominating root locus field |
| title | Algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variations |
| title_full | Algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variations |
| title_fullStr | Algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variations |
| title_full_unstemmed | Algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variations |
| title_short | Algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variations |
| title_sort | algorithm for synthesis of the stable characteristic polynomials for dynamic systems under parametric variations |
| topic | characteristic polynomial dynamic system parametric variations root locus portrait dominating root locus field |
| url | https://inf.grid.by/jour/article/view/885 |
| work_keys_str_mv | AT aanesenchuk algorithmforsynthesisofthestablecharacteristicpolynomialsfordynamicsystemsunderparametricvariations |