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Target mass control for uncertain compartmental systems

Title
Target mass control for uncertain compartmental systems
Type
Article in International Scientific Journal
Year
2010
Authors
Claudia Sousa
(Author)
Other
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Teresa Mendonca
(Author)
FCUP
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Paula Rocha
(Author)
FEUP
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Journal
Vol. 83 No. 7
Pages: 1387-1396
ISSN: 0020-7179
Publisher: Taylor & Francis
Indexing
Publicação em ISI Web of Science ISI Web of Science
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INSPEC
Scientific classification
FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering
Other information
Authenticus ID: P-003-BC0
Abstract (EN): In this article we analyse the total mass target control problem for compartmental systems under the presence of parameter uncertainties. We consider a state feedback control law with positivity constraints tuned for a nominal system, and prove that this law leads the value of the total mass of the real system to an interval whose bounds depend on the parameter uncertainties and can be made arbitrarily close to the desired value of the total mass when the uncertainties are sufficiently small. Moreover, we prove that for a class of compartmental systems in R(3) of interest, the state of the controlled system tends to an equilibrium point whose total mass lies within the aforementioned interval. Taking into account the relationship between the mass and the state components in steady state, it is possible to use the proposed mass control law to track the desired values for the steady state components. This is applied to the control of the neuromuscular blockade level of patients undergoing surgery, by means of the infusion of atracurium. Our results are illustrated by several simulations and a clinical case.
Language: English
Type (Professor's evaluation): Scientific
Contact: cnsousa@gaia.ipiaget.org
No. of pages: 10
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