Controller Reduction by the Block Balanced Realization Using the General Representation of H.INF. Controllers

Abstract

In this paper, we propose a new controller reduction method using the closed-loop block balanced realization technique. To decrease the closed-loop performance degradation, it is need to take account the closed-loop configuration in controller reduction process. The block balanced realization technique was developed from the open-loop balanced realization method to consider the closed-loop configuaration. In our method, we employ the block balanced realization method to reduce the order of H∞ controllers, and to consider robustness for controller variation, we use the general representation of H∞ controllers. A numerical example is presented to illustrate the effectiveness of our method.