H** infinity -CONTROLLER DEGREE BOUNDS BY INTERPOLATION THEORY.

D. J.N. Limebeer; B. D.O. Anderson

H** infinity -CONTROLLER DEGREE BOUNDS BY INTERPOLATION THEORY.

^*Corresponding author for this work

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

Abstract

An upper bound is derived for the McMillan degree of all H** infinity -optimal controllers using vector interpolation theory. The advantage of this method is that interpolation theory leads directly to a degree bound on all optimal closed loops. With this in hand, it is relatively easy to obtain a bound on the controller degree. A novel result on the degree of all optimal solutions to the matrix Nevanlinna-Pick problem.

Original language	English
Pages (from-to)	1344-1349
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Publication status	Published - 1987
Externally published	Yes

Cite this

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title = "H** infinity -CONTROLLER DEGREE BOUNDS BY INTERPOLATION THEORY.",

abstract = "An upper bound is derived for the McMillan degree of all H** infinity -optimal controllers using vector interpolation theory. The advantage of this method is that interpolation theory leads directly to a degree bound on all optimal closed loops. With this in hand, it is relatively easy to obtain a bound on the controller degree. A novel result on the degree of all optimal solutions to the matrix Nevanlinna-Pick problem.",

author = "Limebeer, {D. J.N.} and Anderson, {B. D.O.}",

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

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AU - Limebeer, D. J.N.

AU - Anderson, B. D.O.

PY - 1987

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N2 - An upper bound is derived for the McMillan degree of all H** infinity -optimal controllers using vector interpolation theory. The advantage of this method is that interpolation theory leads directly to a degree bound on all optimal closed loops. With this in hand, it is relatively easy to obtain a bound on the controller degree. A novel result on the degree of all optimal solutions to the matrix Nevanlinna-Pick problem.

AB - An upper bound is derived for the McMillan degree of all H** infinity -optimal controllers using vector interpolation theory. The advantage of this method is that interpolation theory leads directly to a degree bound on all optimal closed loops. With this in hand, it is relatively easy to obtain a bound on the controller degree. A novel result on the degree of all optimal solutions to the matrix Nevanlinna-Pick problem.

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M3 - Conference article

AN - SCOPUS:0023562756

SN - 0191-2216

SP - 1344

EP - 1349

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

ER -

H** infinity -CONTROLLER DEGREE BOUNDS BY INTERPOLATION THEORY.

Abstract

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