Determination of Vertices and Edges in a Parametric Polytope to Analyze Root Indices of Robust Control Quality; International Journal of Automation and Computing (IJAC); Vol. 16, iss. 6
| Parent link: | International Journal of Automation and Computing (IJAC) Vol. 16, iss. 6.— 2019.— [P. 828-837] |
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| Autor Corporativo: | |
| Outros autores: | , , , |
| Summary: | Title screen The research deals with the methodology intended to root robust quality indices in the interval control system, the parameters of which are affinely included in the coefficients of a characteristic polynomial. To determine the root quality indices we propose to depict on the root plane not all edges of the interval parametric polytope (as the edge theorem says), but its particular vertex-edge route. In order to define this route we need to know the angle sequence at which the edge branches depart from any integrated pole on the allocation area. It is revealed that the edge branches can integrate into the route both fully or partially due to intersection with other branches. The conditions which determine the intersection of one-face edge images have been proven. It is shown that the root quality indices can be determined by its ends or by any other internal point depending on a type of edge branch. The conditions which allow determining the edge branch type have been identified. On the basis of these studies we developed the algorithm intended to construct a boundary vertex-edge route on the polytope with the interval parameters of the system. As an illustration of how the algorithm can be implemented, we determined and introduced the root indices reflecting the robust quality of the system used to stabilize the position of an underwater charging station for autonomous unmanned vehicles. Режим доступа: по договору с организацией-держателем ресурса |
| Idioma: | inglés |
| Publicado: |
2019
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.1007/s11633-019-1182-y |
| Formato: | Electrónico Capítulo de libro |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=662281 |
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| 200 | 1 | |a Determination of Vertices and Edges in a Parametric Polytope to Analyze Root Indices of Robust Control Quality |f S. A. Gaivoronsky (Gayvoronsky), T. A. Ezangina, I. V. Khozhaev, V. P. Kazmin | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 40 tit.] | ||
| 330 | |a The research deals with the methodology intended to root robust quality indices in the interval control system, the parameters of which are affinely included in the coefficients of a characteristic polynomial. To determine the root quality indices we propose to depict on the root plane not all edges of the interval parametric polytope (as the edge theorem says), but its particular vertex-edge route. In order to define this route we need to know the angle sequence at which the edge branches depart from any integrated pole on the allocation area. It is revealed that the edge branches can integrate into the route both fully or partially due to intersection with other branches. The conditions which determine the intersection of one-face edge images have been proven. It is shown that the root quality indices can be determined by its ends or by any other internal point depending on a type of edge branch. The conditions which allow determining the edge branch type have been identified. On the basis of these studies we developed the algorithm intended to construct a boundary vertex-edge route on the polytope with the interval parameters of the system. As an illustration of how the algorithm can be implemented, we determined and introduced the root indices reflecting the robust quality of the system used to stabilize the position of an underwater charging station for autonomous unmanned vehicles. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t International Journal of Automation and Computing (IJAC) | ||
| 463 | |t Vol. 16, iss. 6 |v [P. 828-837] |d 2019 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a robust control | |
| 610 | 1 | |a parametric uncertainty | |
| 610 | 1 | |a parametric polytope | |
| 610 | 1 | |a interval parameters | |
| 610 | 1 | |a system analysis | |
| 610 | 1 | |a контроль | |
| 610 | 1 | |a параметрические неустойчивости | |
| 610 | 1 | |a параметрические многогранники | |
| 610 | 1 | |a системный анализ | |
| 701 | 1 | |a Gaivoronsky (Gayvoronsky) |b S. A. |c specialist in the field of informatics and computer technology |c Associate Professor of Tomsk Polytechnic University, Candidate of technical sciences |f 1961- |g Sergey Anatolievich |3 (RuTPU)RU\TPU\pers\32976 |9 16821 | |
| 701 | 1 | |a Ezangina |b T. A. |c specialist in the field of informatics and computer engineering |c engineer of Tomsk Polytechnic University |f 1987- |g Tatiana Aleksandrovna |3 (RuTPU)RU\TPU\pers\35631 | |
| 701 | 1 | |a Khozhaev |b I. V. |c specialist in the field of informatics and computer engineering |c engineer of Tomsk Polytechnic University |f 1992- |g Ivan Valerievich |3 (RuTPU)RU\TPU\pers\35632 |9 18801 | |
| 701 | 1 | |a Kazmin |b V. P. |c specialist in the field of informatics and computer technology |c Associate Professor of Tomsk Polytechnic University, candidate of technical sciences |f 1943- |g Viktor Pavlovich |3 (RuTPU)RU\TPU\pers\36298 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |b Инженерная школа информационных технологий и робототехники |c 2017- |x TPU |7 ca |8 rus |9 28330 |
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| 856 | 4 | |u https://doi.org/10.1007/s11633-019-1182-y | |
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