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A comparison of different upper-bound inequalities for the membership functions derivative

Abstract : When using fuzzy Lyapunov functions for continuous-time Takagi-Sugeno fuzzy systems, it is common to have to deal with the membership functions’ time derivative. Several upper-bound inequalities have been proposed in the literature in order to deal with these derivatives in a Linear Matrix Inequality setting. In this article, we extend and compare some of these inequalities in the context of generating the largest estimate of the domain of attraction while synthesizing non-PDC control laws.
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https://hal-uphf.archives-ouvertes.fr/hal-03413186
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Submitted on : Wednesday, November 3, 2021 - 4:02:36 PM
Last modification on : Thursday, November 4, 2021 - 12:00:03 PM

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  • HAL Id : hal-03413186, version 1

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Victor Campos, Tran Anh-Tu Nguyen, Reinaldo Martinez Palhares. A comparison of different upper-bound inequalities for the membership functions derivative. 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. ⟨hal-03413186⟩

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