文章基本信息

标题：LMI-based robust control of uncertain nonlinear systems via polytopes of polynomials
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作者：Marcelino Sánchez ; Miguel Bernal
期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2019
卷号：29
期号：2
页码：1-9
DOI：10.2478/amcs-2019-0020
出版社：De Gruyter Open
摘要：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.
关键词：robust control; uncertain systems; nonlinear systems; linear parameter;varying systems; LMIs