Target mass control for uncertain compartmental systems

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Claudia Sousa (Author) Other; Teresa Mendonca (Author) FCUP; Paula Rocha (Author) FEUP

Journal

Title: International Journal of Control

Vol. 83 No. 7

Pages: 1387-1396

ISSN: 0020-7179

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 1 Citation

ISI Web of Science

Scopus - 1 Citation

COMPENDEX

INSPEC

Scientific classification

FOS: Engineering and technology > Electrical engineering, Electronic engineering, Information engineering

Other information

Authenticus ID: P-003-BC0

DOI: 10.1080/00207171003736311

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

No. of pages: 10