One-step extension approach to optimal Hankel-norm approximation and H-optimization problems

Ciann Dong Yang, Fang Bo Yeh

研究成果: Article

6 引文 斯高帕斯(Scopus)

摘要

This paper provides a novel methodology for Hankel approximation and H-optimization problems, based on a new formulation of the one-step extension problem which was originally proposed by A-A-K and is solved here by the Sarason interpolation theorem. The parameterization of all optimal Hankel approximants for multivariable systems is given in terms of the eigenvalue decomposition of a Hermitian matrix composed directly from the coefficients of a given transfer function matrix φ. Rather than starting with the state-space realization of φ, we use polynomial coefficients of φ as input data. In terms of these data, a natural basis is given for the finite dimensional Sarason model space and all computations involve only manipulations with finite matrices.

原文English
頁(從 - 到)674-688
頁數15
期刊IEEE Transactions on Automatic Control
38
發行號5
DOIs
出版狀態Published - 1993 五月 1

All Science Journal Classification (ASJC) codes

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

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