H∞ feedback-control of the Threonine Synthesis pathway via system uncertainty

Eli Gershon; Oren Yokev; Uri Shaked

doi:10.23919/ecc.2007.7068871

H_∞ feedback-control of the Threonine Synthesis pathway via system uncertainty

Eli Gershon, Oren Yokev, Uri Shaked

School of Electrical Engineering

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

3 Scopus citations

Abstract

In this paper we consider the well studied Threonine Synthesis pathway in E. Coli, leading from Aspartate to the end product Threonine, via a complex five step mechanism. We linearize each step in the pathway around pre-chosen physiologically sound set points. We then assemble the (originally nonlinear) system as a linear uncertain polytopic one. We study the effect of negative feedback-loops that are internally exerted on the system by Threonine. We then probe the sensitivity of the system to variations in certain variables in order to asses the possible optimality of the system, in the H_∞ sense.

Original language	English
Title of host publication	2007 European Control Conference, ECC 2007
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3724-3731
Number of pages	8
ISBN (Electronic)	9783952417386
DOIs	https://doi.org/10.23919/ecc.2007.7068871
State	Published - 2007
Event	2007 9th European Control Conference, ECC 2007 - Kos, Greece Duration: 2 Jul 2007 → 5 Jul 2007

Publication series

Name	2007 European Control Conference, ECC 2007

Conference

Conference	2007 9th European Control Conference, ECC 2007
Country/Territory	Greece
City	Kos
Period	2/07/07 → 5/07/07

Access to Document

10.23919/ecc.2007.7068871

Cite this

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title = "H∞ feedback-control of the Threonine Synthesis pathway via system uncertainty",

abstract = "In this paper we consider the well studied Threonine Synthesis pathway in E. Coli, leading from Aspartate to the end product Threonine, via a complex five step mechanism. We linearize each step in the pathway around pre-chosen physiologically sound set points. We then assemble the (originally nonlinear) system as a linear uncertain polytopic one. We study the effect of negative feedback-loops that are internally exerted on the system by Threonine. We then probe the sensitivity of the system to variations in certain variables in order to asses the possible optimality of the system, in the H∞ sense.",

author = "Eli Gershon and Oren Yokev and Uri Shaked",

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Gershon, E, Yokev, O & Shaked, U 2007, H_∞ feedback-control of the Threonine Synthesis pathway via system uncertainty. in 2007 European Control Conference, ECC 2007., 7068871, 2007 European Control Conference, ECC 2007, Institute of Electrical and Electronics Engineers Inc., pp. 3724-3731, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 2/07/07. https://doi.org/10.23919/ecc.2007.7068871

H_∞ feedback-control of the Threonine Synthesis pathway via system uncertainty. / Gershon, Eli; Yokev, Oren; Shaked, Uri.
2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2007. p. 3724-3731 7068871 (2007 European Control Conference, ECC 2007).

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

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