A state-space realization approach to set identification of biochemical kinetic parameters

Yutaka Hori, Richard M. Murray

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

This paper proposes a set-based parameter identification method for biochemical systems. The developed method identifies not a single parameter but a set of parameters that all explain time-series experimental data, enabling the systematic characterization of the uncertainty of identified parameters. Our key idea is to use a state-space realization that has the same input-output behavior as experimental data instead of the experimental data itself for the identification. This allows us to relax the originally nonlinear identification problem to an LMI feasibility problem validating the norm bound of an error system. We show that regions of parameters can be efficiently classified into consistent and inconsistent parameter sets by combining the LMI feasibility problems and a generalized bisection algorithm.

Original languageEnglish
Title of host publication2015 European Control Conference, ECC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2280-2285
Number of pages6
ISBN (Electronic)9783952426937
DOIs
Publication statusPublished - 2015 Nov 16
Externally publishedYes
EventEuropean Control Conference, ECC 2015 - Linz, Austria
Duration: 2015 Jul 152015 Jul 17

Other

OtherEuropean Control Conference, ECC 2015
CountryAustria
CityLinz
Period15/7/1515/7/17

Fingerprint

Kinetic parameters
Time series
Identification (control systems)
Uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Hori, Y., & Murray, R. M. (2015). A state-space realization approach to set identification of biochemical kinetic parameters. In 2015 European Control Conference, ECC 2015 (pp. 2280-2285). [7330878] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2015.7330878

A state-space realization approach to set identification of biochemical kinetic parameters. / Hori, Yutaka; Murray, Richard M.

2015 European Control Conference, ECC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 2280-2285 7330878.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hori, Y & Murray, RM 2015, A state-space realization approach to set identification of biochemical kinetic parameters. in 2015 European Control Conference, ECC 2015., 7330878, Institute of Electrical and Electronics Engineers Inc., pp. 2280-2285, European Control Conference, ECC 2015, Linz, Austria, 15/7/15. https://doi.org/10.1109/ECC.2015.7330878
Hori Y, Murray RM. A state-space realization approach to set identification of biochemical kinetic parameters. In 2015 European Control Conference, ECC 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 2280-2285. 7330878 https://doi.org/10.1109/ECC.2015.7330878
Hori, Yutaka ; Murray, Richard M. / A state-space realization approach to set identification of biochemical kinetic parameters. 2015 European Control Conference, ECC 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 2280-2285
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