An improved method for estimating the domain of attraction of nonlinear systems containing rational functions

Péter Polcz, G. Szederkényi, Tamás Péni

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Abstract

An optimization based method is proposed in this paper for the computation of Lyapunov functions and regions of attractions for nonlinear systems containing polynomial and rational terms. The Lyapunov function is given in a special quadratic form, and the negativity of its derivative is ensured using appropriate LMI conditions. The conservatism of the solution is reduced by utilizing Finsler's lemma. The number of monomial and rational terms in the computational problem is kept as low as possible using linear fractional transformation (LFT) and automatic model simplification steps. The operation of the method is illustrated on two examples taken from the literature.

Original languageEnglish
Article number012038
JournalJournal of Physics: Conference Series
Volume659
Issue number1
DOIs
Publication statusPublished - Nov 19 2015

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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