A Note on the Youla-Bongiorno-Lu Condition

B. D. O. Anderson; E. I. Jury

doi:10.1016/0005-1098(76)90060-1

A Note on the Youla-Bongiorno-Lu Condition

B. D. O. Anderson, E. I. Jury

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6 Citations (Scopus)

Abstract

Youla, Bongiorno and Lu have presented a condition for the stabilizability using stable controllers of an unstable plant. We show this condition may be reformulated in terms of Cauchy indices, allowing its checking in a finite number of rational operations, should the plant not be given in factored form, i.e. should its poles and zeros be unknown. The results applies to discrete and continuous-time, and scalar and multivariable plants.

Original language	English
Pages (from-to)	387-388
Journal	Automatica
Volume	12
Issue number	4
DOIs	https://doi.org/10.1016/0005-1098(76)90060-1
Publication status	Published - Jul 1976
Externally published	Yes

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title = "A Note on the Youla-Bongiorno-Lu Condition",

abstract = "Youla, Bongiorno and Lu have presented a condition for the stabilizability using stable controllers of an unstable plant. We show this condition may be reformulated in terms of Cauchy indices, allowing its checking in a finite number of rational operations, should the plant not be given in factored form, i.e. should its poles and zeros be unknown. The results applies to discrete and continuous-time, and scalar and multivariable plants.",

author = "Anderson, {B. D. O.} and Jury, {E. I.}",

year = "1976",

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doi = "10.1016/0005-1098(76)90060-1",

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T1 - A Note on the Youla-Bongiorno-Lu Condition

AU - Anderson, B. D. O.

AU - Jury, E. I.

PY - 1976/7

Y1 - 1976/7

N2 - Youla, Bongiorno and Lu have presented a condition for the stabilizability using stable controllers of an unstable plant. We show this condition may be reformulated in terms of Cauchy indices, allowing its checking in a finite number of rational operations, should the plant not be given in factored form, i.e. should its poles and zeros be unknown. The results applies to discrete and continuous-time, and scalar and multivariable plants.

AB - Youla, Bongiorno and Lu have presented a condition for the stabilizability using stable controllers of an unstable plant. We show this condition may be reformulated in terms of Cauchy indices, allowing its checking in a finite number of rational operations, should the plant not be given in factored form, i.e. should its poles and zeros be unknown. The results applies to discrete and continuous-time, and scalar and multivariable plants.

U2 - 10.1016/0005-1098(76)90060-1

DO - 10.1016/0005-1098(76)90060-1

M3 - Article

SN - 0005-1098

VL - 12

SP - 387

EP - 388

JO - Automatica

JF - Automatica

IS - 4

ER -

A Note on the Youla-Bongiorno-Lu Condition

Abstract

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