Functional observer for glucose regulation

Mendis, Marina Shanil (2008) Functional observer for glucose regulation. [USQ Project] (Unpublished)

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Abstract

Ever since David Luenberger introduced the problem of observing the state vector of a deterministic linear time-invariant multi-variable system [1] [2], there have been numerous studies on the design and optimisation of observers for reduced-order. Of particular interest is one type of observer presented in [1], the functional observer. One of the problems of functional observers is the complexity in their design, proposed design methods seem to offer a trade-off between the observers’ general applicability to a wide range of systems, degree of order reduction and simplicity. In this project we attempt to take a non-linear 19 th order insulin-glucose physiological model, linearise the system, apply a model reduction technique and design a state feedback controller which utilises Darouach’s functional observer to supply the linear function of the states for feedback. A new result that relaxes the sufficient and necessary conditions for the existence of the Darouach observer is discussed. This result increases the range of systems to which this observer can be applied.


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Item Type: USQ Project
Refereed: No
Item Status: Live Archive
Additional Information: Appendix files have been loaded as a Zip File. Note that some of these files, eg. Matlab files, are unable to be opened in Windows.
Depositing User: epEditor USQ
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Electrical, Electronic and Computer Engineering
Date Deposited: 04 Dec 2009 06:31
Last Modified: 02 Jul 2013 23:29
Uncontrolled Keywords: glucose regulation; functional observer
Fields of Research (FOR2008): 09 Engineering > 0903 Biomedical Engineering > 090304 Medical Devices
09 Engineering > 0906 Electrical and Electronic Engineering > 090699 Electrical and Electronic Engineering not elsewhere classified
URI: http://eprints.usq.edu.au/id/eprint/6106

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