Robust stabilization of 2D discrete Roesser models against parametric uncertainty

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.