Static Output Feedback Control for 2-D SRM Continuous Systems

This paper addresses the problem of control synthesis for a class of Two-Dimensional (2-D) singular continuous systems described by a Roesser model. By transforming the original system into an equivalent separated standard form and employing the Lyapunov function in combination with specific slack variables, sufficient Linear Matrix Inequality (LMI) conditions are derived. Consequently, a Static Output Feedback (SOF) controller is designed to stabilize an initially unstable system and guarantee its admissibility. The effectiveness of the proposed method is then demonstrated through a numerical example.