Robust stabilization of 2D discrete Roesser models against parametric uncertainty

Conference: nDS '13 - Proceedings of the 8th International Workshop on Multidimensional Systems
09/09/2013 - 09/11/2013 at Erlangen, Deutschland

Proceedings: nDS '13

Pages: 6Language: englishTyp: PDF

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Authors:
Ghamgui, Mariem; Yeganefar, Nima; Bachelier, Olivier; Mehdi, Driss (University of Poitiers, LIAS-ENSIP, Bˆatiment B25, 2 rue Pierre Brousse B.P. 633, 86022 Poitiers Cedex, France)

Abstract:
The problem of robust stability as well as robust stabilization of 2D discrete systems described by the Roesser model are addressed in this paper. The model is in a descriptor form where all the system matrices are corrupted by an uncertainty complying with a Linear fractional Representation. The use of the S-procedure allows the authors in a previous contribution to establish some elegant robust stability condition that can be easily checked by any LMI solver. The same techniques, based on the S-procedure, are then used in the present paper to solve the state feedback stabilization problem.