A notion of possible controllability for uncertain linear systems with structured uncertainty

Ian R. Petersen

doi:10.1016/j.automatica.2008.05.033

A notion of possible controllability for uncertain linear systems with structured uncertainty

Ian R. Petersen^*

^*Corresponding author for this work

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

10 Citations (Scopus)

Abstract

This paper introduces a notion of possible controllability for a class of uncertain linear systems with structured uncertainty described by averaged integral quadratic constraints. This notion relates to the question of when a state is controllable for some possible value of the uncertainty. The notion of possible controllability is motivated by a desire to extend the theory of minimal realization for linear time invariant systems to the case of uncertain systems with structured uncertainty.

Original language	English
Pages (from-to)	134-141
Number of pages	8
Journal	Automatica
Volume	45
Issue number	1
DOIs	https://doi.org/10.1016/j.automatica.2008.05.033
Publication status	Published - Jan 2009
Externally published	Yes

Access to Document

10.1016/j.automatica.2008.05.033

Cite this

@article{001e268130e0466386d2e55097251fdc,

title = "A notion of possible controllability for uncertain linear systems with structured uncertainty",

abstract = "This paper introduces a notion of possible controllability for a class of uncertain linear systems with structured uncertainty described by averaged integral quadratic constraints. This notion relates to the question of when a state is controllable for some possible value of the uncertainty. The notion of possible controllability is motivated by a desire to extend the theory of minimal realization for linear time invariant systems to the case of uncertain systems with structured uncertainty.",

keywords = "Controllability, Controllability Gramian, Integral quadratic constraints, Uncertain systems, Uncertainty",

author = "Petersen, \{Ian R.\}",

year = "2009",

month = jan,

doi = "10.1016/j.automatica.2008.05.033",

language = "English",

volume = "45",

pages = "134--141",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

number = "1",

}

TY - JOUR

T1 - A notion of possible controllability for uncertain linear systems with structured uncertainty

AU - Petersen, Ian R.

PY - 2009/1

Y1 - 2009/1

N2 - This paper introduces a notion of possible controllability for a class of uncertain linear systems with structured uncertainty described by averaged integral quadratic constraints. This notion relates to the question of when a state is controllable for some possible value of the uncertainty. The notion of possible controllability is motivated by a desire to extend the theory of minimal realization for linear time invariant systems to the case of uncertain systems with structured uncertainty.

AB - This paper introduces a notion of possible controllability for a class of uncertain linear systems with structured uncertainty described by averaged integral quadratic constraints. This notion relates to the question of when a state is controllable for some possible value of the uncertainty. The notion of possible controllability is motivated by a desire to extend the theory of minimal realization for linear time invariant systems to the case of uncertain systems with structured uncertainty.

KW - Controllability

KW - Controllability Gramian

KW - Integral quadratic constraints

KW - Uncertain systems

KW - Uncertainty

UR - https://www.scopus.com/pages/publications/57949087405

U2 - 10.1016/j.automatica.2008.05.033

DO - 10.1016/j.automatica.2008.05.033

M3 - Article

SN - 0005-1098

VL - 45

SP - 134

EP - 141

JO - Automatica

JF - Automatica

IS - 1

ER -

A notion of possible controllability for uncertain linear systems with structured uncertainty

Abstract

Access to Document

Other files and links

Fingerprint

Cite this