Frequency weighted square-root optimal Hankel norm model reduction

Abstract

In this paper a square-root balanced approach based frequency weighted optimal Hankel norm model reduction algorithm is developed as an extension of [21] and [25]. The proposed algorithm generates stable reduced order models with single and double-sided weighting functions. A numerical example is included and the results are compared with the existing techniques as a validation of developed algorithm. Keywords-balanced realization; frequency weighted model reduction; optimal hankel norm approximation; square-root approach.978-1-4799-7862-5/15/$31.00