- 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
- Reviewed
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