Robust stabilization under linear fractional parametric uncertainties of two-dimensional systems with Roesser models

This paper deals with the problem of robust stabilization f or uncertain two-dimensional systems described by the Roesser model. The uncertainty und er consideration has linear fractional form. Sufficient conditions for robust stability and robust stabilization are obtained. Moreover, the results generalize the works on uncertain 2-D systems with norm-bounded parametric uncertainties. A robust state feedback control law can be constructed based on solving a strict linear matrix inequality (LMI). Numerical examples are provided to demonstrate the applicability of the proposed methodology.