Robust stabilization of 2-D uncertain singular Roesser models

This paper discusses the problem of robust stabilization for linear discrete time 2-D singular Roesser models (2-D SRM) with time-invariant norm-bounded parameter uncertainty. The purpose is the design of a state feedback controller such that the resulting closed-loop system is acceptable, jump modes free, stable for all admissible uncertainties. A sufficient condition for the solvability of the robust stabilization problem is derived in terms of bilinear matrix inequalities (BMIs) and an iterative procedure for solving the BMIs is proposed.