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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Bibliographic Details
Published inInternational journal of applied mathematics and computer science Vol. 29; no. 2; pp. 275 - 283
Main Authors Sánchez, Marcelino, Bernal, Miguel
Format Journal Article
LanguageEnglish
Published Zielona Góra De Gruyter Poland 01.06.2019
Sciendo
Subjects
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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ISSN2083-8492
1641-876X
2083-8492
DOI10.2478/amcs-2019-0020

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Summary: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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ISSN:2083-8492
1641-876X
2083-8492
DOI:10.2478/amcs-2019-0020