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

9 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

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10.1016/j.automatica.2008.05.033

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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",

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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

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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

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