Comments on “Model-Order Reduction Using Variational Balanced Truncation With Spectral Shaping”

Author

Wan Muda, Wan Mariam ; Sreeram, Victor ; Ha, Minh B. ; Ghafoor, Abdul

Author_Institution

Sch. of Ocean Eng., Univ. Malaysia Terengganu, Kuala Terengganu, Malaysia

Volume

62

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

333

Lastpage

335

Abstract

This comment explains why the passivity preserving frequency weighted model reduction technique of Heydari and Pedram is guaranteed to yield neither passive nor stable models in the case of double-sided weighting. It is further shown for this method that the passivity can be preserved in the single-sided weighting case only. An example is presented to show that their method may yield non-passive models for passive original systems in the case of double-sided weighting.

Keywords

passive networks; reduced order systems; spectral analysis; variational techniques; double-sided weighting; model-order reduction; nonpassive model; passive original system; passivity preserving frequency weighted model reduction technique; single-sided weighting; spectral shaping; variational balanced truncation; Eigenvalues and eigenfunctions; Equations; Integrated circuit modeling; Mathematical model; Matrix decomposition; Reduced order systems; Stability analysis; Algebraic Riccati equations; Lur´e equations; Passive-reduced order modeling; frequency weighting; high-speed interconnects; positive-real truncated balanced realization (PR-TBR);

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2014.2347235

Filename

6914620