Estimation of the domain of attraction for nonlinear autonomous systems using a bezoutian approach

One of the central subjects in modern control engineering is the investigation of stability for arbitrary given nonlinear systems. In this contribution we will introduce a novel method to compute the domain of attraction (DA) of a polynomial system using bezoutians. The presented method is able to e...

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Bibliographic Details
Published in2016 SICE International Symposium on Control Systems (ISCS) pp. 1 - 6
Main Authors Pursche, Thomas, Swiatlak, Robert, Tibken, Bernd
Format Conference Proceeding
LanguageEnglish
Published The Society of Instrument and Control Engineers - SICE 01.03.2016
Subjects
Asymptotic stability
Control Theory
Domain of Attraction
Estimation
Linear matrix inequalities
Lyapunov methods
Nonlinear systems
Optimization
Stability analysis
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DOI10.1109/SICEISCS.2016.7470159

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Summary:One of the central subjects in modern control engineering is the investigation of stability for arbitrary given nonlinear systems. In this contribution we will introduce a novel method to compute the domain of attraction (DA) of a polynomial system using bezoutians. The presented method is able to estimate the DA for a given system linear as well as nonlinear system. It works for quadratic Lyapunov function as well as for arbitrary non linear Lyapunov functions. In this present algorithm the DA is successfully determined by an inner and outer bound. The inner bound yields an enclosure of the Lyapunov function (LF) countour line c*.
DOI:10.1109/SICEISCS.2016.7470159