A circle criterion observer for estimating the unmeasured membrane potential of neuronal populations

Michelle Chong; Romain Postoyan; Dragan Nešić; Levin Kuhlmann; Andrea Varsavsky

A circle criterion observer for estimating the unmeasured membrane potential of neuronal populations

Michelle Chong
, Romain Postoyan
, Dragan Nešić
, Levin Kuhlmann
, Andrea Varsavsky

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

A circle criterion observer is designed for estimating the unmeasured membrane potential of neuronal populations using the electroencephalogram (EEG) from a class of parameterised models that replicates patterns seen on the EEG. Compared to existing similar designs, we provide a less conservative linear matrix inequality (LMI) condition that is shown to be fulfilled for the neural models we consider. The designed observer is robust towards disturbances in the input and measurement, as well as model uncertainty. We show that the observer can be designed for a model that reproduces alpha rhythms in the EEG as an illustrative example.

Original language	English
Title of host publication	2011 Australian Control Conference
Publisher	Institute of Electrical and Electronics Engineers
Pages	493-498
Number of pages	6
ISBN (Electronic)	978-0-85825-884-6
Publication status	Published - 29 Dec 2011
Externally published	Yes
Event	1st Australian Control Conference, AUCC 2011 - Melbourne, Australia Duration: 10 Nov 2011 → 11 Nov 2011 Conference number: 1 https://www.aucc.org.au/AUCC2011/

Conference

Conference	1st Australian Control Conference, AUCC 2011
Abbreviated title	AUCC
Country/Territory	Australia
City	Melbourne
Period	10/11/11 → 11/11/11
Internet address	https://www.aucc.org.au/AUCC2011/

Keywords

Neuroscience
State Estimation
Observer design

Access to Document

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Cite this

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title = "A circle criterion observer for estimating the unmeasured membrane potential of neuronal populations",

abstract = "A circle criterion observer is designed for estimating the unmeasured membrane potential of neuronal populations using the electroencephalogram (EEG) from a class of parameterised models that replicates patterns seen on the EEG. Compared to existing similar designs, we provide a less conservative linear matrix inequality (LMI) condition that is shown to be fulfilled for the neural models we consider. The designed observer is robust towards disturbances in the input and measurement, as well as model uncertainty. We show that the observer can be designed for a model that reproduces alpha rhythms in the EEG as an illustrative example.",

keywords = "Neuroscience, State Estimation, Observer design",

author = "Michelle Chong and Romain Postoyan and Dragan Ne{\v s}i{\'c} and Levin Kuhlmann and Andrea Varsavsky",

year = "2011",

month = dec,

day = "29",

language = "English",

pages = "493--498",

booktitle = "2011 Australian Control Conference",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "1st Australian Control Conference, AUCC 2011, AUCC ; Conference date: 10-11-2011 Through 11-11-2011",

url = "https://www.aucc.org.au/AUCC2011/",

}

Chong, M, Postoyan, R, Nešić, D, Kuhlmann, L & Varsavsky, A 2011, A circle criterion observer for estimating the unmeasured membrane potential of neuronal populations. in 2011 Australian Control Conference., 6114323, Institute of Electrical and Electronics Engineers, pp. 493-498, 1st Australian Control Conference, AUCC 2011, Melbourne, Victoria, Australia, 10/11/11. <https://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=6114323>

A circle criterion observer for estimating the unmeasured membrane potential of neuronal populations. / Chong, Michelle; Postoyan, Romain; Nešić, Dragan et al.
2011 Australian Control Conference. Institute of Electrical and Electronics Engineers, 2011. p. 493-498 6114323.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - A circle criterion observer for estimating the unmeasured membrane potential of neuronal populations

AU - Chong, Michelle

AU - Postoyan, Romain

AU - Nešić, Dragan

AU - Kuhlmann, Levin

AU - Varsavsky, Andrea

N1 - Conference code: 1

PY - 2011/12/29

Y1 - 2011/12/29

N2 - A circle criterion observer is designed for estimating the unmeasured membrane potential of neuronal populations using the electroencephalogram (EEG) from a class of parameterised models that replicates patterns seen on the EEG. Compared to existing similar designs, we provide a less conservative linear matrix inequality (LMI) condition that is shown to be fulfilled for the neural models we consider. The designed observer is robust towards disturbances in the input and measurement, as well as model uncertainty. We show that the observer can be designed for a model that reproduces alpha rhythms in the EEG as an illustrative example.

AB - A circle criterion observer is designed for estimating the unmeasured membrane potential of neuronal populations using the electroencephalogram (EEG) from a class of parameterised models that replicates patterns seen on the EEG. Compared to existing similar designs, we provide a less conservative linear matrix inequality (LMI) condition that is shown to be fulfilled for the neural models we consider. The designed observer is robust towards disturbances in the input and measurement, as well as model uncertainty. We show that the observer can be designed for a model that reproduces alpha rhythms in the EEG as an illustrative example.

KW - Neuroscience

KW - State Estimation

KW - Observer design

M3 - Conference contribution

SP - 493

EP - 498

BT - 2011 Australian Control Conference

PB - Institute of Electrical and Electronics Engineers

T2 - 1st Australian Control Conference, AUCC 2011

Y2 - 10 November 2011 through 11 November 2011

ER -

A circle criterion observer for estimating the unmeasured membrane potential of neuronal populations

Abstract

Conference

Keywords

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