Positive real control for uncertain 2-D discrete systems in general model

This paper discusses the problem of positive real control for uncertain two-dimensional discrete systems in general model (2-D GM) with norm-bounded parameter uncertainties. Attention is focused on the design of dynamic output feedback controllers, which guarantee that the closed-loop system is robustly stable and the closed-loop transfer function is extended strictly positive real (ESPR) for all admissible uncertainties. A sufficient condition for ESPR of 2-D GM is first presented. Based on this, the explicit parameters of the desired output feedback controller are designed using a linear matrix inequality (LMI). Finally, a numerical example to demonstrate the effectiveness and feasibility of the proposed method is provided.