A weighted mixed-sensitivity H-infinity-control design for irrational transfer matrices

R F Curtain; Y S Zhou

doi:10.1109/9.536500

A weighted mixed-sensitivity H-infinity-control design for irrational transfer matrices

R F Curtain^*, Y S Zhou

^*Corresponding author for this work

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

12 Citations (Scopus)

Abstract

Approximate solutions to a weighted mixed-sensitivity H-x-control problem for an irrational transfer matrix are obtained by solving the same problem for a reduced-order (rational) transfer matrix. Upper and lower bounds for the sensitivity are obtained in terms of the sensitivity for the reduced-order model and the approximation error, Moreover, rational suboptimal controllers for the irrational transfer matrix are constructed which achieve a sensitivity close to the minimum.

Original language	English
Pages (from-to)	1312-1321
Number of pages	10
Journal	IEEE Transactions on Automatic Control
Volume	41
Issue number	9
DOIs	https://doi.org/10.1109/9.536500
Publication status	Published - Sep-1996

Keywords

DIMENSIONAL SYSTEMS
DELAY SYSTEMS
ROBUST STABILIZATION
COPRIME FACTORS
APPROXIMATION
PLANTS
MODEL

Access to Document

10.1109/9.536500

Embargoed Document

A weighted mixed-sensitivity H/sub /spl infin//-control design for irrational transfer matrices
Final publisher's version, 897 KB

Cite this

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title = "A weighted mixed-sensitivity H-infinity-control design for irrational transfer matrices",

abstract = "Approximate solutions to a weighted mixed-sensitivity H-x-control problem for an irrational transfer matrix are obtained by solving the same problem for a reduced-order (rational) transfer matrix. Upper and lower bounds for the sensitivity are obtained in terms of the sensitivity for the reduced-order model and the approximation error, Moreover, rational suboptimal controllers for the irrational transfer matrix are constructed which achieve a sensitivity close to the minimum.",

keywords = "DIMENSIONAL SYSTEMS, DELAY SYSTEMS, ROBUST STABILIZATION, COPRIME FACTORS, APPROXIMATION, PLANTS, MODEL",

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KW - DIMENSIONAL SYSTEMS

KW - DELAY SYSTEMS

KW - ROBUST STABILIZATION

KW - COPRIME FACTORS

KW - APPROXIMATION

KW - PLANTS

KW - MODEL

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