Development of an Improved Frequency Limited Model Order Reduction Technique and Error Bound for Discrete-Time Systems

Abstract

Frequency limited model order reduction algorithm presented by Wang and Zilouchian for discrete-time systems provide unstable reduced-order models and also do not provide a priori error bound formula. Many stability-preserving model order reduction algorithms were presented; however, these methods produce significant approximation errors in the desired frequency interval. An improved algorithm of model order reduction for the discrete-time systems is presented. The proposed technique gives the stable reduced-order model and also provides less approximation error as compared with other algorithms and also provides the formula for the frequency response a priori error bound. Numerical examples provided at the end of the section show the efficacy of the proposed technique.

Keywords

• model order reduction
• controllability gramians
• observability gramians
• error bound
• balanced truncation