Robust Stability Analysis of Nonlinear Switched Systems with Filippov Solutions

Mohamadreza Ahmadi, Hamed Mojallali, Rafal Wisniewski, Roozbeh Izadi-Zamanabadi

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2 Citationer (Scopus)
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Abstract

This paper addresses the stability problem of a class of nonlinear switched systems with partitioned state-space and state-dependent switching. In lieu of the Carath ́eodory solutions, the general Filippov solutions are considered. This encapsulates solutions with infinite switching in finite time. Based on the theory of differential inclusions, a Lyapunov stability theorem is brought forward. These results are also extended to switched systems subject to polytopic uncertainty. Furthermore, the proposed stability theorems are reformulated using the sum of squares decomposition method which provides sufficient means to construct the corresponding Lyapunov functions via available semi-definite programming techniques.
OriginalsprogEngelsk
Titel7th IFAC Symposium on Robust Control Design
Antal sider7
Vol/bind7
ForlagElsevier
Publikationsdato2012
Sider288-293
ISBN (Trykt)978-3-902823-03-8
DOI
StatusUdgivet - 2012
Begivenhed7th IFAC Symposium on Robust Control Design - Aalborg, Danmark
Varighed: 20 jun. 201222 jun. 2012
Konferencens nummer: 7

Konference

Konference7th IFAC Symposium on Robust Control Design
Nummer7
Land/OmrådeDanmark
ByAalborg
Periode20/06/201222/06/2012
NavnI F A C Workshop Series
ISSN1474-6670

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