New Results On Partial Fraction Based Frequency Weighted Balanced Truncation Technique For Discrete–Time System

In this paper, we present some new results on frequency weighted model reduction technique based on partial fraction expansion idea in discrete-time system. The reduced order models of the newly proposed method obtained by direct truncation, produces lower errors when compared to existing techniques. The new method is guaranteed to be stable even for double sided weightings. A simple and easily computable a priori error bound is also derived. Numerical examples with comparisons to the existing techniques show the effectiveness of the proposed method.