A fundamental control performance limit for a class of positive nonlinear systems

Title: A fundamental control performance limit for a class of positive nonlinear systems
Creator: Goodwin, Graham C.; Carrasco, Diego S.; Seron, Maria M.; Medioli, Adrian M.
Relation: Automatica Vol. 95, p. 14-22
Publisher Link: http://dx.doi.org/10.1016/j.automatica.2018.05.008
Publisher: Elsevier
Resource Type: journal article
Date: 2018
Description: A fundamental performance limit is derived for a class of positive nonlinear systems. The performance limit describes the achievable output response in the presence of a positive disturbance and subject to a sign constraint on the allowable input. An explicit optimal input is derived which minimises the maximum output response whilst ensuring that the minimum output response does not fall below a pre-specified lower bound. The result provides a fundamental performance standard against which all control policies, including closed loop schemes, can be compared. Implications of the result are examined in the context of blood glucose regulation for Type 1 Diabetes.
Subject: positive systems; nonlinear systems; performance limitations; blood glucose regulation
Identifier: http://hdl.handle.net/1959.13/1412287
Identifier: uon:36455
Identifier: ISSN:0005-1098
Language: eng
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