文章基本信息

标题：Reduced linear fractional representation of nonlinear systems for stability analysis ⁎
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作者：Péter Polcz ; Tamás Péni ; Gábor Szederkényi 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：2
页码：37-42
DOI：10.1016/j.ifacol.2018.03.007
语种：English
出版社：Elsevier
摘要：AbstractBased on symbolic and numeric manipulations, a model simplification technique is proposed in this paper for the linear fractional representation (LFR) and for the differential algebraic representation introduced by Trofino and Dezuo (2013). This representation is needed for computational Lyapunov stability analysis of uncertain rational nonlinear systems. The structure of the parameterized rational Lyapunov function is generated from the linear fractional representation (LFR) of the system model. The developed method is briefly compared to the n-D order reduction technique known from the literature. The proposed model transformations does not affect the structure of Lyapunov function candidate, preserves the well-posedness of the LFR and guarantees that the resulting uncertainty block is at most the same dimensional as the initial one. The applicability of the proposed method is illustrated on two examples.
关键词：KeywordsLinear fractional representationcomputational methodsstability analysisLyapunov functionsmodel simplification