Robust stabilization of 2D discrete Roesser models against parametric uncertainty

Inhalt:
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.