ON THE SHAPE OF H2 PERFORMANCE CRITERIA

A. S. Bazanella; M. Gevers; L. Miškovic; B. D.O. Anderson

doi:10.3182/20071017-3-BR-2923.00032

ON THE SHAPE OF H₂ PERFORMANCE CRITERIA

A. S. Bazanella^*, M. Gevers, L. Miškovic, B. D.O. Anderson

^*Corresponding author for this work

School of Engineering

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

Abstract

An H₂ control performance criterion dependent on a controller parameter vector is analyzed from the point of view of evaluating the domain of attraction of its global minimum when a gradient-based algorithm is used in tuning the parameters. The objective of this analysis is twofold: (i) examine how some design parameters of the criterion can be used to enlarge the domain of attraction; (ii) examine how the minimization of a sequence of intermediate criteria can possibly lead to the global minimum of the original criterion without the danger of entrapment in a local minimum.

Original language	English
Pages (from-to)	190-195
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	40
Issue number	20
DOIs	https://doi.org/10.3182/20071017-3-BR-2923.00032
Publication status	Published - 2007
Event	3rd IFAC Symposium on System Structure and Control, SSSC 2007 - Foz do Iguassu, Brazil Duration: 17 Oct 2007 → 19 Oct 2007

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10.3182/20071017-3-BR-2923.00032

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title = "ON THE SHAPE OF H2 PERFORMANCE CRITERIA",

abstract = "An H2 control performance criterion dependent on a controller parameter vector is analyzed from the point of view of evaluating the domain of attraction of its global minimum when a gradient-based algorithm is used in tuning the parameters. The objective of this analysis is twofold: (i) examine how some design parameters of the criterion can be used to enlarge the domain of attraction; (ii) examine how the minimization of a sequence of intermediate criteria can possibly lead to the global minimum of the original criterion without the danger of entrapment in a local minimum.",

keywords = "control system synthesis, Optimal control, performance indices",

author = "Bazanella, \{A. S.\} and M. Gevers and L. Mi{\v s}kovic and Anderson, \{B. D.O.\}",

note = "Publisher Copyright: Copyright {\textcopyright} 2007 IFAC.; 3rd IFAC Symposium on System Structure and Control, SSSC 2007 ; Conference date: 17-10-2007 Through 19-10-2007",

year = "2007",

doi = "10.3182/20071017-3-BR-2923.00032",

language = "English",

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TY - JOUR

T1 - ON THE SHAPE OF H2 PERFORMANCE CRITERIA

AU - Bazanella, A. S.

AU - Gevers, M.

AU - Miškovic, L.

AU - Anderson, B. D.O.

PY - 2007

Y1 - 2007

N2 - An H2 control performance criterion dependent on a controller parameter vector is analyzed from the point of view of evaluating the domain of attraction of its global minimum when a gradient-based algorithm is used in tuning the parameters. The objective of this analysis is twofold: (i) examine how some design parameters of the criterion can be used to enlarge the domain of attraction; (ii) examine how the minimization of a sequence of intermediate criteria can possibly lead to the global minimum of the original criterion without the danger of entrapment in a local minimum.

AB - An H2 control performance criterion dependent on a controller parameter vector is analyzed from the point of view of evaluating the domain of attraction of its global minimum when a gradient-based algorithm is used in tuning the parameters. The objective of this analysis is twofold: (i) examine how some design parameters of the criterion can be used to enlarge the domain of attraction; (ii) examine how the minimization of a sequence of intermediate criteria can possibly lead to the global minimum of the original criterion without the danger of entrapment in a local minimum.

KW - control system synthesis

KW - Optimal control

KW - performance indices

UR - https://www.scopus.com/pages/publications/85172231696

U2 - 10.3182/20071017-3-BR-2923.00032

DO - 10.3182/20071017-3-BR-2923.00032

M3 - Conference article

AN - SCOPUS:85172231696

SN - 2405-8963

VL - 40

SP - 190

EP - 195

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 20

T2 - 3rd IFAC Symposium on System Structure and Control, SSSC 2007

Y2 - 17 October 2007 through 19 October 2007

ER -

ON THE SHAPE OF H₂ PERFORMANCE CRITERIA

Abstract

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