Control System for an Object with Interval-Given Parameters: Quality Analysis Based on Leading Coefficients of Characteristic Polynomials; International Review of Automatic Control (IREACO); Vol. 11, № 4
| Parent link: | International Review of Automatic Control (IREACO) Vol. 11, № 4.— 2018.— [P. 203-207] |
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| Awdur Corfforaethol: | |
| Awduron Eraill: | , , , , |
| Crynodeb: | Title screen This paper presents stability analysis for a class of uncertain nonlinear systems and a method for designing robust control system based on leading coefficients of characteristic polynomials. The problem of determining quality indices of a system, which characteristic polynomials are with interval coefficients, is one of the relevant ones in the robust control theory. This article deals with the interval characteristic polynomial coefficients of a control system. Based on the extended root locus method, we have determined conditions, at which the vertices of a polyhedron of coefficients will be mapped onto root domain. The root analysis carried out by us showed the conditions for achieving the minimum degree of stability of the system under consideration, as well as the maximum degree of oscillation. Thus, the paper describes the design of a method intended for finding the control leading coefficients of polynomials that will allow analyzing the minimum stability degree and the maximum oscillativity degree of control systems for objects with interval-given parameters. A complete solution to a problem of the system control is given. Thus, the stability conditions of the system are described in full. |
| Iaith: | Saesneg |
| Cyhoeddwyd: |
2018
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| Pynciau: | |
| Mynediad Ar-lein: | https://doi.org/10.15866/ireaco.v11i4.15727 |
| Fformat: | Electronig Pennod Llyfr |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=664185 |
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| 200 | 1 | |a Control System for an Object with Interval-Given Parameters: Quality Analysis Based on Leading Coefficients of Characteristic Polynomials |f Yu. A. Chursin, D. M. Sonkin, M. S. Sukhodoev [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 330 | |a This paper presents stability analysis for a class of uncertain nonlinear systems and a method for designing robust control system based on leading coefficients of characteristic polynomials. The problem of determining quality indices of a system, which characteristic polynomials are with interval coefficients, is one of the relevant ones in the robust control theory. This article deals with the interval characteristic polynomial coefficients of a control system. Based on the extended root locus method, we have determined conditions, at which the vertices of a polyhedron of coefficients will be mapped onto root domain. The root analysis carried out by us showed the conditions for achieving the minimum degree of stability of the system under consideration, as well as the maximum degree of oscillation. Thus, the paper describes the design of a method intended for finding the control leading coefficients of polynomials that will allow analyzing the minimum stability degree and the maximum oscillativity degree of control systems for objects with interval-given parameters. A complete solution to a problem of the system control is given. Thus, the stability conditions of the system are described in full. | ||
| 461 | |t International Review of Automatic Control (IREACO) | ||
| 463 | |t Vol. 11, № 4 |v [P. 203-207] |d 2018 | ||
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a characteristic polynomial | |
| 610 | 1 | |a interval coefficients | |
| 610 | 1 | |a root locus | |
| 610 | 1 | |a root localization | |
| 610 | 1 | |a parameterized polyhedron vertices | |
| 610 | 1 | |a stability degree | |
| 610 | 1 | |a oscillativity degree | |
| 610 | 1 | |a phase equation | |
| 610 | 1 | |a angle of leaving | |
| 701 | 1 | |a Chursin |b Yu. A. |c specialist in the field of physical installations |c Associate Professor of Tomsk Polytechnic University, Candidate of technical sciences |f 1984- |g Yuri Alexandrovich |3 (RuTPU)RU\TPU\pers\31384 | |
| 701 | 1 | |a Sonkin |b D. M. |c specialist in the field of informatics and computer engineering |c Associate Professor of Tomsk Polytechnic University, candidate of technical sciences |f 1986- |g Dmitry Mikhailovich |3 (RuTPU)RU\TPU\pers\34614 |9 17976 | |
| 701 | 1 | |a Sukhodoev |b M. S. |c specialist in the field of automatic control |c Associate Professor of Tomsk Polytechnic University, Candidate of technical sciences |f 1982- |g Mikhail Sergeevich |3 (RuTPU)RU\TPU\pers\32000 |9 16060 | |
| 701 | 1 | |a Нурмухаметов |b Р. А. |c специалист в области электроники |c программист Томского политехнического университета |f 1992- |g Руслан Александрович |3 (RuTPU)RU\TPU\pers\42943 | |
| 701 | 1 | |a Pavlichev |b V. V. |f 1993- |g Vsevolod Viktorovich |3 (RuTPU)RU\TPU\pers\42944 | |
| 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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