Normalized coprime factorization for singular systems

W. Q. Liu; V. Sreeram; K. L. Teo; Baohui Xie

Normalized coprime factorization for singular systems

W. Q. Liu
, V. Sreeram
, K. L. Teo
, Baohui Xie

University of Western Australia

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we will consider the normalized right-coprime factorization (NRCF) problem for singular systems. Firstly, the linear quadratic regulator (LQR) theory for singular systems is reviewed with emphasis on the solution of its corresponding Riccati equation. Secondly, a method is developed for a nomalized, stable, right coprime factorization for a given transfer matrix. This method involves the solution of an algebraic Riccati equation for singular systems and avoids calculations of spectral factors.

Original language	English
Pages (from-to)	2125-2126
Number of pages	2
Journal	Proceedings of the American Control Conference
Volume	3
Publication status	Published - 1997
Externally published	Yes
Event	Proceedings of the 1997 American Control Conference. Part 3 (of 6) - Albuquerque, NM, USA Duration: 4 Jun 1997 → 6 Jun 1997

Cite this

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title = "Normalized coprime factorization for singular systems",

abstract = "In this paper, we will consider the normalized right-coprime factorization (NRCF) problem for singular systems. Firstly, the linear quadratic regulator (LQR) theory for singular systems is reviewed with emphasis on the solution of its corresponding Riccati equation. Secondly, a method is developed for a nomalized, stable, right coprime factorization for a given transfer matrix. This method involves the solution of an algebraic Riccati equation for singular systems and avoids calculations of spectral factors.",

author = "Liu, \{W. Q.\} and V. Sreeram and Teo, \{K. L.\} and Baohui Xie",

year = "1997",

language = "English",

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pages = "2125--2126",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 1997 American Control Conference. Part 3 (of 6) ; Conference date: 04-06-1997 Through 06-06-1997",

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T1 - Normalized coprime factorization for singular systems

AU - Liu, W. Q.

AU - Sreeram, V.

AU - Teo, K. L.

AU - Xie, Baohui

PY - 1997

Y1 - 1997

N2 - In this paper, we will consider the normalized right-coprime factorization (NRCF) problem for singular systems. Firstly, the linear quadratic regulator (LQR) theory for singular systems is reviewed with emphasis on the solution of its corresponding Riccati equation. Secondly, a method is developed for a nomalized, stable, right coprime factorization for a given transfer matrix. This method involves the solution of an algebraic Riccati equation for singular systems and avoids calculations of spectral factors.

AB - In this paper, we will consider the normalized right-coprime factorization (NRCF) problem for singular systems. Firstly, the linear quadratic regulator (LQR) theory for singular systems is reviewed with emphasis on the solution of its corresponding Riccati equation. Secondly, a method is developed for a nomalized, stable, right coprime factorization for a given transfer matrix. This method involves the solution of an algebraic Riccati equation for singular systems and avoids calculations of spectral factors.

UR - https://www.scopus.com/pages/publications/0030652785

M3 - Conference article

AN - SCOPUS:0030652785

SN - 0743-1619

VL - 3

SP - 2125

EP - 2126

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 1997 American Control Conference. Part 3 (of 6)

Y2 - 4 June 1997 through 6 June 1997

ER -

Normalized coprime factorization for singular systems

Abstract

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