State-space formulae for spectral factorizations

Mi-Ching Tsai

State-space formulae for spectral factorizations

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

This paper is concerned with three classes of spectral factorizations appearing in continuous-time H²/H^∞ optimal controls. A unified procedure which employs coprime factorization to find certain coprime factors is developed for computing spectral factors. The derivations are performed in terms of transfer function matrices which have merits in its simple and straightforward development; however, the associated state-space algorithms are given for the ease of computations. The extension of this method to the case of strictly proper transfer matrices is also studied.

Original language	English
Pages (from-to)	540-552
Number of pages	13
Journal	Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao
Volume	14
Issue number	6
Publication status	Published - 1993 Dec 1

All Science Journal Classification (ASJC) codes

Mechanical Engineering

Access to Document

Fingerprint Dive into the research topics of 'State-space formulae for spectral factorizations'. Together they form a unique fingerprint.

Cite this

@article{87c8c09abf004ddf955ed656cba4e03f,

title = "State-space formulae for spectral factorizations",

abstract = "This paper is concerned with three classes of spectral factorizations appearing in continuous-time H2/H∞ optimal controls. A unified procedure which employs coprime factorization to find certain coprime factors is developed for computing spectral factors. The derivations are performed in terms of transfer function matrices which have merits in its simple and straightforward development; however, the associated state-space algorithms are given for the ease of computations. The extension of this method to the case of strictly proper transfer matrices is also studied.",

author = "Mi-Ching Tsai",

year = "1993",

month = dec,

day = "1",

language = "English",

volume = "14",

pages = "540--552",

journal = "Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao",

issn = "0257-9731",

publisher = "Chinese Mechanical Engineering Society",

number = "6",

}

TY - JOUR

T1 - State-space formulae for spectral factorizations

AU - Tsai, Mi-Ching

PY - 1993/12/1

Y1 - 1993/12/1

N2 - This paper is concerned with three classes of spectral factorizations appearing in continuous-time H2/H∞ optimal controls. A unified procedure which employs coprime factorization to find certain coprime factors is developed for computing spectral factors. The derivations are performed in terms of transfer function matrices which have merits in its simple and straightforward development; however, the associated state-space algorithms are given for the ease of computations. The extension of this method to the case of strictly proper transfer matrices is also studied.

AB - This paper is concerned with three classes of spectral factorizations appearing in continuous-time H2/H∞ optimal controls. A unified procedure which employs coprime factorization to find certain coprime factors is developed for computing spectral factors. The derivations are performed in terms of transfer function matrices which have merits in its simple and straightforward development; however, the associated state-space algorithms are given for the ease of computations. The extension of this method to the case of strictly proper transfer matrices is also studied.

UR - http://www.scopus.com/inward/record.url?scp=0027840073&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027840073&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0027840073

VL - 14

SP - 540

EP - 552

JO - Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao

JF - Journal of the Chinese Society of Mechanical Engineers, Transactions of the Chinese Institute of Engineers, Series C/Chung-Kuo Chi Hsueh Kung Ch'eng Hsuebo Pao

SN - 0257-9731

IS - 6

ER -