A gramian-based approach to model reduction for uncertain systems

Li Li; Ian R. Petersen

doi:10.1109/TAC.2009.2037466

A gramian-based approach to model reduction for uncertain systems

Li Li^*, Ian R. Petersen

^*Corresponding author for this work

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

9 Citations (Scopus)

Abstract

The technical note considers a problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The technical note introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. Based on these Gramians, three model reduction approaches are investigated for the underlying uncertain systems.

Original language	English
Article number	5373988
Pages (from-to)	508-514
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	55
Issue number	2
DOIs	https://doi.org/10.1109/TAC.2009.2037466
Publication status	Published - Feb 2010
Externally published	Yes

Access to Document

10.1109/TAC.2009.2037466

Cite this

@article{6ba600dfadeb4a45a01406251abd3a65,

title = "A gramian-based approach to model reduction for uncertain systems",

abstract = "The technical note considers a problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The technical note introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. Based on these Gramians, three model reduction approaches are investigated for the underlying uncertain systems.",

keywords = "Linear fractional transformation, Linear matrix inequality, Model reduction, Uncertain systems",

author = "Li Li and Petersen, {Ian R.}",

year = "2010",

month = feb,

doi = "10.1109/TAC.2009.2037466",

language = "English",

volume = "55",

pages = "508--514",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

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

number = "2",

}

TY - JOUR

T1 - A gramian-based approach to model reduction for uncertain systems

AU - Li, Li

AU - Petersen, Ian R.

PY - 2010/2

Y1 - 2010/2

N2 - The technical note considers a problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The technical note introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. Based on these Gramians, three model reduction approaches are investigated for the underlying uncertain systems.

AB - The technical note considers a problem of model reduction for a class of uncertain systems with structured norm bounded uncertainty. The technical note introduces controllability and observability Gramians in terms of certain parameterized algebraic Riccati inequalities. Based on these Gramians, three model reduction approaches are investigated for the underlying uncertain systems.

KW - Linear fractional transformation

KW - Linear matrix inequality

KW - Model reduction

KW - Uncertain systems

UR - http://www.scopus.com/inward/record.url?scp=76949088670&partnerID=8YFLogxK

U2 - 10.1109/TAC.2009.2037466

DO - 10.1109/TAC.2009.2037466

M3 - Article

SN - 0018-9286

VL - 55

SP - 508

EP - 514

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 2

M1 - 5373988

ER -

A gramian-based approach to model reduction for uncertain systems

Abstract

Access to Document

Other files and links

Cite this