𝒟U-Admissibility with static output feedback for uncertain descriptor T–S systems

Mohamed Amin Regaieg, Jérôme Bosche, Mourad Kchaou, Ahmed El Hajjaji and Mohamed Chaabane

International Journal of Systems Science, 2019, vol. 50, issue 10, 2030-2041

Abstract: This paper deals with the problem of $\mathcal {D}_U $DU-admissibility analysis and synthesis for a class of uncertain continuous fuzzy descriptor systems. By adopting the linear matrix inequality approach and introducing some free matrices, sufficient conditions are established to ensure the $\mathcal {D}_U $DU-admissibility of the considered class of nonlinear uncertain descriptor systems. From this formulated criterion, a static output feedback multi-controller is designed to ensure the admissibility of the closed loop fuzzy descriptor systems and to improve the transient performances in a union of sub-regions. The merit and effectiveness of the proposed conditions are illustrated by two numerical examples.

Date: 2019
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DOI: 10.1080/00207721.2019.1646348

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