Sequential design procedures for multivariable control systems: a direct method based on Gauss-Jordan factorization

L. F. Yeung; G. F. Bryant

doi:10.1109/CDC.1994.411717

Sequential design procedures for multivariable control systems: a direct method based on Gauss-Jordan factorization

L. F. Yeung
, G. F. Bryant

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

1 Citation (Scopus)

Abstract

In this paper the Gauss-Jordan (GJ) factorization technique is used to aid the design of a multivariable control system and with which a large multivariable system can be transformed into a series of multi-input single-output designs. Also, the design of the precompensator can be decomposed into n-stages and each column of this pre-compensator can be designed sequentially. Hence no special structural constraint is imposed on the controller. We also show that the successive application of the GJ elimination to a system's return difference matrix is associated with the closing of the loops of a system.

Original language	English
Pages (from-to)	3630-3631
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	4
DOIs	https://doi.org/10.1109/CDC.1994.411717
Publication status	Published - 1994
Event	33rd IEEE Conference on Decision and Control, CDC 1994 - Lake Buena Vista, United States Duration: 14 Dec 1994 → 16 Dec 1994 http://www-control.eng.cam.ac.uk/extras/conferences/CDC94.html

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title = "Sequential design procedures for multivariable control systems: a direct method based on Gauss-Jordan factorization",

abstract = "In this paper the Gauss-Jordan (GJ) factorization technique is used to aid the design of a multivariable control system and with which a large multivariable system can be transformed into a series of multi-input single-output designs. Also, the design of the precompensator can be decomposed into n-stages and each column of this pre-compensator can be designed sequentially. Hence no special structural constraint is imposed on the controller. We also show that the successive application of the GJ elimination to a system's return difference matrix is associated with the closing of the loops of a system.",

author = "Yeung, \{L. F.\} and Bryant, \{G. F.\}",

year = "1994",

doi = "10.1109/CDC.1994.411717",

language = "English",

volume = "4",

pages = "3630--3631",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "IEEE",

note = "33rd IEEE Conference on Decision and Control, CDC 1994, CDC 1994 ; Conference date: 14-12-1994 Through 16-12-1994",

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TY - JOUR

T1 - Sequential design procedures for multivariable control systems

T2 - 33rd IEEE Conference on Decision and Control, CDC 1994

AU - Yeung, L. F.

AU - Bryant, G. F.

PY - 1994

Y1 - 1994

N2 - In this paper the Gauss-Jordan (GJ) factorization technique is used to aid the design of a multivariable control system and with which a large multivariable system can be transformed into a series of multi-input single-output designs. Also, the design of the precompensator can be decomposed into n-stages and each column of this pre-compensator can be designed sequentially. Hence no special structural constraint is imposed on the controller. We also show that the successive application of the GJ elimination to a system's return difference matrix is associated with the closing of the loops of a system.

AB - In this paper the Gauss-Jordan (GJ) factorization technique is used to aid the design of a multivariable control system and with which a large multivariable system can be transformed into a series of multi-input single-output designs. Also, the design of the precompensator can be decomposed into n-stages and each column of this pre-compensator can be designed sequentially. Hence no special structural constraint is imposed on the controller. We also show that the successive application of the GJ elimination to a system's return difference matrix is associated with the closing of the loops of a system.

UR - https://www.scopus.com/pages/publications/0028749133

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0028749133&origin=recordpage

U2 - 10.1109/CDC.1994.411717

DO - 10.1109/CDC.1994.411717

M3 - RGC 22 - Publication in policy or professional journal

SN - 0191-2216

VL - 4

SP - 3630

EP - 3631

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 14 December 1994 through 16 December 1994

ER -

Sequential design procedures for multivariable control systems: a direct method based on Gauss-Jordan factorization

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