LMI–Based Robust Control of Uncertain Nonlinear Systems via Polytopes of Polynomials
This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform ana...
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| Published in | International journal of applied mathematics and computer science Vol. 29; no. 2; pp. 275 - 283 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Zielona Góra
De Gruyter Poland
01.06.2019
Sciendo |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2083-8492 1641-876X 2083-8492 |
| DOI | 10.2478/amcs-2019-0020 |
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| Abstract | This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover, the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions. |
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| AbstractList | This investigation is concerned with robust analysis and control of uncertain nonlinear systems with parametric uncertainties. In contrast to the methodologies from the field of linear parameter varying systems, which employ convex structures of the state space representation in order to perform analysis and design, the proposed approach makes use of a polytopic form of a generalisation of the characteristic polynomial, which proves to outperform former results on the subject. Moreover, the derived conditions have the advantage of being cast as linear matrix inequalities under mild assumptions. |
| Author | Sánchez, Marcelino Bernal, Miguel |
| Author_xml | – sequence: 1 givenname: Marcelino surname: Sánchez fullname: Sánchez, Marcelino organization: Department of Electric and Electronics, Engineering Sonora Institute of Technology , 5 de Febrero 818 Sur, CP 85000 , Ciudad Obregon , Sonora, Mexico – sequence: 2 givenname: Miguel surname: Bernal fullname: Bernal, Miguel organization: Department of Electric and Electronics, Engineering Sonora Institute of Technology , 5 de Febrero 818 Sur, CP 85000 , Ciudad Obregon , Sonora, Mexico |
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| SubjectTerms | Control systems Linear matrix inequalities linear parameter-varying systems lmis Mathematical analysis Matrix methods Nonlinear control Nonlinear systems Polynomials Polytopes Robust control State space models uncertain systems |
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| Title | LMI–Based Robust Control of Uncertain Nonlinear Systems via Polytopes of Polynomials |
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