H2 controller reduction using the Riccati equations and the block balanced truncation

In this paper, we propose a new ℋ2 controller reduction method using the Riccati equations and the block balanced truncation. To maintain the closed-loop properties such as stability and ℋ2-norm performance, we employ the Riccati equations for controller reduction. A low-order controller is obtained by block balancing the solutions of the Riccati equations which include a full order controller. A numerical example is illustrated to show the effectiveness of our method.