Controller Reduction Via Frequency-Weightings Considering H_∞ Property Preservation

Abstract

In this paper, a new H_∞ controller reduction method are proposed to preserve the H_∞ property using frequency-weightings. It is necessary to consider decreasing degradation of H_∞ property for H_∞ controller reduction. It is well known that all H_∞ controllers are represented by free parameters which are stable and bounded. In the paper, frequency-weightings are given to stabilize the free parameter, and low order controller is provided by using frequency-weighted balanced technique. Some numerical examples are illustrated to show effectiveness of our method.