Robust unobservability for uncertain linear systems with structured uncertainty

Ian R. Petersen

doi:10.1109/TAC.2007.902751

Robust unobservability for uncertain linear systems with structured uncertainty

Ian R. Petersen^*

^*Corresponding author for this work

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

8 Citations (Scopus)

Abstract

This correspondence introduces a notion of robust unobservability 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 unobservable for all possible values of the uncertainty. This question may arise which considering modeling and realization theory for uncertain systems. The correspondence presents an algorithm for finding the robust unobservability function and corresponding unobservable cone.

Original language	English
Pages (from-to)	1461-1469
Number of pages	9
Journal	IEEE Transactions on Automatic Control
Volume	52
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2007.902751
Publication status	Published - 31 Aug 2007
Externally published	Yes

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10.1109/TAC.2007.902751

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title = "Robust unobservability for uncertain linear systems with structured uncertainty",

abstract = "This correspondence introduces a notion of robust unobservability 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 unobservable for all possible values of the uncertainty. This question may arise which considering modeling and realization theory for uncertain systems. The correspondence presents an algorithm for finding the robust unobservability function and corresponding unobservable cone.",

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AB - This correspondence introduces a notion of robust unobservability 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 unobservable for all possible values of the uncertainty. This question may arise which considering modeling and realization theory for uncertain systems. The correspondence presents an algorithm for finding the robust unobservability function and corresponding unobservable cone.

KW - Observability

KW - Realization

KW - Structured uncertainty

KW - Uncertain systems

UR - https://www.scopus.com/pages/publications/34548250491

U2 - 10.1109/TAC.2007.902751

DO - 10.1109/TAC.2007.902751

M3 - Article

SN - 0018-9286

VL - 52

SP - 1461

EP - 1469

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 8

ER -

Robust unobservability for uncertain linear systems with structured uncertainty

Abstract

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