NDLI: Stabilization of chemostats using feedback linearization

Content Provider	IEEE Xplore Digital Library
Author	Noussi, H. Ballyk, M. Barany, E.
Copyright Year	2007
Description	Author affiliation: New Mexico State Univ., Las Cruces (Noussi, H.; Ballyk, M.; Barany, E.)
Abstract	Stabilization via feedback linearization of two-species competition models based in the chemostat is considered. Competition is for a single growth-limiting resource in the first model, and for two perfectly substitutable resources in the second. The dilution rate and the input concentration of one nutrient are taken as input controls in each model. The main issues we investigate are limitations on stabilizable states and stabilizer design due to the structure of the linearized system. It is shown that determination of feasible stabilizable states requires computation of an equilibrium submanifold in the state space. Once this is accomplished, the potential exists for failure of a proportional-derivative stabilizer strategy due to singular structure in the resulting closed-loop dynamics caused by failure of the linearizing coordinate transformation to be a global diffeomorphism. This is exhibited explicitly in the three-dimensional model, and it is shown numerically that similar phenomena persist in four dimensions.
Starting Page	677
Ending Page	682
File Size	215996
Page Count	6
File Format	PDF
ISBN	9781424414970
ISSN	01912216
DOI	10.1109/CDC.2007.4434666
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Control systems Linear feedback control systems State-space methods State feedback Bioreactors Linear systems Control system synthesis USA Councils Mathematical model Solid modeling
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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