TY - GEN
T1 - A state-space realization approach to set identification of biochemical kinetic parameters
AU - Hori, Yutaka
AU - Murray, Richard M.
N1 - Funding Information:
This work was supported in part by the Defense Advanced Research Projects Agency (DARPA) under Living Foundries program (HR0011-12-C-0065). Y. Hori is supported by JSPS Fellowship for Research Abroad
Publisher Copyright:
© 2015 EUCA.
PY - 2015/11/16
Y1 - 2015/11/16
N2 - 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.
AB - 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.
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U2 - 10.1109/ECC.2015.7330878
DO - 10.1109/ECC.2015.7330878
M3 - Conference contribution
AN - SCOPUS:84963815651
T3 - 2015 European Control Conference, ECC 2015
SP - 2280
EP - 2285
BT - 2015 European Control Conference, ECC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - European Control Conference, ECC 2015
Y2 - 15 July 2015 through 17 July 2015
ER -