Stability and Stabilization of 2D Singular Systems: A Strict LMI Approach
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This paper deals with the stability and stabilization of 2D singular systems described by a Roesser model. The proposed results are presented in terms of a strict linear matrix inequality (LMI), which makes possible to elaborate a new sufficient admissibility condition. The design of a state feedback controller is then treated using this condition, deriving a sufficient condition for the admissibility of the closed-loop system. A numerical example is given at the end of the paper, which illustrates the effectiveness of the proposed methodology.
KeywordsTwo-dimensional (2D)systems Singular systems Stability Stabilization Strict LMI
Marwa Elloumi was partially funded by an Erasmus+ KA107 Grant from EACEA, coordinated by the University of Valladolid, Spain. Prof. Tadeo is funded by Junta de Castilla y Leon and FEDER funds (CLU 2017-09 and UIC 233).
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