抄録
In this paper, we propose a new H∞ controller reduction method using the block balanced truncation with the Riccati equations. To maintain the closed-loop properties such as stability and H∞ performance index, we employ the Riccati equations for controller reduction. At first, an H∞ controller is designed using a generalized plant with some frequency-weightings. Then we construct a new virtual generalized plant which consists of the controller and the frequency-weightings. A low-order controller is obtained by balancing the solutions of the Riccati equations which are derived from the virtual generalized plant. A numerical example is illustrated to show the effectiveness of our method.
