Necessary and sufficient conditions for the stabilizability of a class of LTI distributed observers

Shinkyu Park; Nuno C. Martins

doi:10.1109/CDC.2012.6426092

Necessary and sufficient conditions for the stabilizability of a class of LTI distributed observers

Shinkyu Park, Nuno C. Martins

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

48 Scopus citations

Abstract

Consider that an autonomous LTI plant is given and that a network of local observers assesses the output vector of the plant. Each local observer in the network is LTI and measures a portion of the output vector. Each local observer computes a state estimate using its measurements and the state estimates of other local observers shared according to a preselected neighborhood structure. This paper proposes an update rule that is a natural generalization of consensus, and for which we determine necessary and sufficient conditions for the existence of parameters that lead to asymptotic omniscience of the state of the plant at all local observers. © 2012 IEEE.

Original language	English (US)
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7431-7436
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2012.6426092
State	Published - Jan 1 2012
Externally published	Yes

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10.1109/CDC.2012.6426092

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title = "Necessary and sufficient conditions for the stabilizability of a class of LTI distributed observers",

abstract = "Consider that an autonomous LTI plant is given and that a network of local observers assesses the output vector of the plant. Each local observer in the network is LTI and measures a portion of the output vector. Each local observer computes a state estimate using its measurements and the state estimates of other local observers shared according to a preselected neighborhood structure. This paper proposes an update rule that is a natural generalization of consensus, and for which we determine necessary and sufficient conditions for the existence of parameters that lead to asymptotic omniscience of the state of the plant at all local observers. {\textcopyright} 2012 IEEE.",

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N2 - Consider that an autonomous LTI plant is given and that a network of local observers assesses the output vector of the plant. Each local observer in the network is LTI and measures a portion of the output vector. Each local observer computes a state estimate using its measurements and the state estimates of other local observers shared according to a preselected neighborhood structure. This paper proposes an update rule that is a natural generalization of consensus, and for which we determine necessary and sufficient conditions for the existence of parameters that lead to asymptotic omniscience of the state of the plant at all local observers. © 2012 IEEE.

AB - Consider that an autonomous LTI plant is given and that a network of local observers assesses the output vector of the plant. Each local observer in the network is LTI and measures a portion of the output vector. Each local observer computes a state estimate using its measurements and the state estimates of other local observers shared according to a preselected neighborhood structure. This paper proposes an update rule that is a natural generalization of consensus, and for which we determine necessary and sufficient conditions for the existence of parameters that lead to asymptotic omniscience of the state of the plant at all local observers. © 2012 IEEE.

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DO - 10.1109/CDC.2012.6426092

M3 - Conference contribution

SP - 7431

EP - 7436

BT - Proceedings of the IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Necessary and sufficient conditions for the stabilizability of a class of LTI distributed observers

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