On weight adjustments in H∞ control design

Alexander Lanzon; Xavier Bombois; Brian Do Anderson

doi:10.23919/ECC.2003.7085220

On weight adjustments in H∞ control design

Alexander Lanzon, Xavier Bombois, Brian Do Anderson

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

6 Citations (Scopus)

Abstract

H_∞ control design is generally performed iteratively. At each iteration, the weights constraining the desired closed-looptransfer functions are adjusted until satisfactory performance margins are obtained. The way in which the weights are adjusted is generally heuristic and based solely on past experience and engineering judgement/intuition. It is consequently important to understand and provide guidelines on how weight adjustments directly affect the synthesised controller, and more importantly, the corresponding closed-loop transfer function matrices. This article presents a thorough study of this problem based on small weight adjustments in H_∞ control design.

Original language	English
Title of host publication	European Journal of Control, Special Issue. Vol 9, No2-3, 2003
Editors	Jan Maciejowski
Place of Publication	Cambridge
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1762-1767
ISBN (Electronic)	9783952417379
ISBN (Print)	2746207567, 978-3-9524173-7-9
DOIs	https://doi.org/10.23919/ECC.2003.7085220
Publication status	Published - 2003
Event	European Control Conference (ECC 2003) - Cambridge UK, United Kingdom Duration: 1 Sept 2003 → 4 Sept 2003

Conference

Conference	European Control Conference (ECC 2003)
Country/Territory	United Kingdom
Period	1/09/03 → 4/09/03
Other	September 1-4 2003

Access to Document

10.23919/ECC.2003.7085220

Cite this

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title = "On weight adjustments in H∞ control design",

abstract = "H∞ control design is generally performed iteratively. At each iteration, the weights constraining the desired closed-looptransfer functions are adjusted until satisfactory performance margins are obtained. The way in which the weights are adjusted is generally heuristic and based solely on past experience and engineering judgement/intuition. It is consequently important to understand and provide guidelines on how weight adjustments directly affect the synthesised controller, and more importantly, the corresponding closed-loop transfer function matrices. This article presents a thorough study of this problem based on small weight adjustments in H∞ control design.",

keywords = "Chain-scattering, H-control, J-lossless factorisation, Weight changes",

author = "Alexander Lanzon and Xavier Bombois and Anderson, \{Brian Do\}",

note = "Publisher Copyright: {\textcopyright} 2003 EUCA.; European Control Conference (ECC 2003) ; Conference date: 01-09-2003 Through 04-09-2003",

year = "2003",

doi = "10.23919/ECC.2003.7085220",

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

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On weight adjustments in H∞ control design. / Lanzon, Alexander; Bombois, Xavier; Anderson, Brian Do.
European Journal of Control, Special Issue. Vol 9, No2-3, 2003. ed. / Jan Maciejowski. Cambridge: Institute of Electrical and Electronics Engineers Inc., 2003. p. 1762-1767.

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

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AU - Bombois, Xavier

AU - Anderson, Brian Do

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N2 - H∞ control design is generally performed iteratively. At each iteration, the weights constraining the desired closed-looptransfer functions are adjusted until satisfactory performance margins are obtained. The way in which the weights are adjusted is generally heuristic and based solely on past experience and engineering judgement/intuition. It is consequently important to understand and provide guidelines on how weight adjustments directly affect the synthesised controller, and more importantly, the corresponding closed-loop transfer function matrices. This article presents a thorough study of this problem based on small weight adjustments in H∞ control design.

AB - H∞ control design is generally performed iteratively. At each iteration, the weights constraining the desired closed-looptransfer functions are adjusted until satisfactory performance margins are obtained. The way in which the weights are adjusted is generally heuristic and based solely on past experience and engineering judgement/intuition. It is consequently important to understand and provide guidelines on how weight adjustments directly affect the synthesised controller, and more importantly, the corresponding closed-loop transfer function matrices. This article presents a thorough study of this problem based on small weight adjustments in H∞ control design.

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KW - H-control

KW - J-lossless factorisation

KW - Weight changes

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DO - 10.23919/ECC.2003.7085220

M3 - Conference Paper

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BT - European Journal of Control, Special Issue. Vol 9, No2-3, 2003

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T2 - European Control Conference (ECC 2003)

Y2 - 1 September 2003 through 4 September 2003

ER -

On weight adjustments in H∞ control design

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