Static Output Feedback Stabilization for 2D Markovian Jump Systems

The aim of this study is to address the challenge of design of static output feedback controller for 2D discrete Markovian jump Systems described by the second Fornasini-Marchesini state space model. The main objective of this paper is to develop a static output feedback (SOF) controller which guarantees the global asymptotic stabilization of the closed-loop considered system. The proposed approach will be based on the construction of a dependent candidate Lyapunov function combined with Linear Matrix Inequalities (LMI) techniques in order to establish sufficient conditions for the controller design into a convex optimization problem. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed controller design.