Interval Continuous Plant Identification from Value Sets
This paper shows how to obtain the values of the numerator and denominator Kharitonov polynomials of an interval plant from its value set at a given frequency. Moreover, it is proven that given a value set, all the assigned polynomials of the vertices can be determined if and only if there is a comp...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/840603 |
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| _version_ | 1832548245426929664 |
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| author | R. Hernández J. A. García C. Mañoso |
| author_facet | R. Hernández J. A. García C. Mañoso |
| author_sort | R. Hernández |
| collection | DOAJ |
| description | This paper shows how to obtain the values of the numerator and denominator Kharitonov polynomials of an interval plant from its value set at a given frequency. Moreover, it is proven that given a value set, all the assigned polynomials of the vertices can be determined if and only if there is a complete edge or a complete arc lying on a quadrant. This algorithm is nonconservative in the sense that if the value-set boundary of an interval plant is exactly known, and particularly its vertices, then the Kharitonov rectangles are exactly those used to obtain these value sets. |
| format | Article |
| id | doaj-art-186a8ea9d4424d0ea114b518d65454ae |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-186a8ea9d4424d0ea114b518d65454ae2025-02-03T06:15:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/840603840603Interval Continuous Plant Identification from Value SetsR. Hernández0J. A. García1C. Mañoso2Departamento de Sistemas de Comunicación y Control, UNED, c/Juan del Rosal 16, 28040 Madrid, SpainDepartamento de Tecnología de Computadores y Comunicaciones, Universidad de Extremadura, 06800 Madrid, SpainDepartamento de Sistemas de Comunicación y Control, UNED, c/Juan del Rosal 16, 28040 Madrid, SpainThis paper shows how to obtain the values of the numerator and denominator Kharitonov polynomials of an interval plant from its value set at a given frequency. Moreover, it is proven that given a value set, all the assigned polynomials of the vertices can be determined if and only if there is a complete edge or a complete arc lying on a quadrant. This algorithm is nonconservative in the sense that if the value-set boundary of an interval plant is exactly known, and particularly its vertices, then the Kharitonov rectangles are exactly those used to obtain these value sets.http://dx.doi.org/10.1155/2012/840603 |
| spellingShingle | R. Hernández J. A. García C. Mañoso Interval Continuous Plant Identification from Value Sets Journal of Applied Mathematics |
| title | Interval Continuous Plant Identification from Value Sets |
| title_full | Interval Continuous Plant Identification from Value Sets |
| title_fullStr | Interval Continuous Plant Identification from Value Sets |
| title_full_unstemmed | Interval Continuous Plant Identification from Value Sets |
| title_short | Interval Continuous Plant Identification from Value Sets |
| title_sort | interval continuous plant identification from value sets |
| url | http://dx.doi.org/10.1155/2012/840603 |
| work_keys_str_mv | AT rhernandez intervalcontinuousplantidentificationfromvaluesets AT jagarcia intervalcontinuousplantidentificationfromvaluesets AT cmanoso intervalcontinuousplantidentificationfromvaluesets |