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Stability analysis of switching TS models using α-samples approach

Abstract : In this paper we consider stability analysis of discrete-time switching systems represented by Takagi-Sugeno fuzzy models. For the analysis we use a switching Lyapunov function defined on the switches. In order to develop stability conditions, we consider the variation of this function along switching paths of length α, i.e., an α sample variation of the Lyapunov function. This approach is able to determine stability of a switching system containing unstable local models. The developed conditions can be formulated as LMIs and they are illustrated on a numerical example.
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Submitted on : Tuesday, March 29, 2022 - 3:17:26 PM
Last modification on : Wednesday, March 30, 2022 - 3:59:59 AM

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Zsofia Lendek, Jimmy Lauber, Thierry-Marie Guerra, Paula Raica. Stability analysis of switching TS models using α-samples approach. IFAC Proceedings Volumes, Elsevier, 2013, 46 (20), pp.468-472. ⟨10.3182/20130902-3-CN-3020.00059⟩. ⟨hal-03623183⟩

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