A Simple Algorithm on Minimal Balanced Realization for Transfer Function Matrices

Cian Dong Yang, F. B. Yeh

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

Given a transfer function matrix, it is shown that the minimal balanced realization of it can be obtained directly from the singular values and the singular vectors of a constant matrix constructed from the coefficients of the least common denominator polynomial. The algorithm is based on a close relation between The controllability and the observability gramians and the singular decomposition of the associated infinite block hanklel Matrix.

Original languageEnglish
Pages (from-to)879-882
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume34
Issue number8
DOIs
Publication statusPublished - 1989 Aug

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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