Static output feedback controller design

In this paper new necessary and sufficient conditions for static output feedback stabilizability for continuous and discrete time linear time invariant systems have been proposed. These conditions are the basis for the procedure of static output feedback controller design proposed in this paper. The proposed LMI based algorithms are computationally simple and tightly connected with Lyapunov stability theory and LQ optimal state feedback design. The structure of the output feedback gain matrix, including a decentralized one, can be prescribed by the designer. In this way the decentralized output feedback controller can be designed.