A New Frequency-Limited Interval Gramians-Based Model Order Reduction Technique

Abstract

Model order reduction (MOR) is a process of finding a lower approximation of the original system. In many practical applications, only a certain frequency interval is of interest. This motivates limited frequency interval model reduction wherein a reduced model is found whose output fits with that of the original system within the desired frequency interval. A frequency-limited balancing-based MOR technique is proposed, which yields stable models with less approximation error than existing stability-preserving techniques. The superiority of the proposed technique is highlighted with the help of numerical examples.