INTERVAL ESTIMATION SYSTEM DESIGN FOR TESTOSTERONE HORMONE DYNAMICS MODEL

Efimov Denis V., Kremlev Artem Sergeevich, Kharkovskaia Tatiana A, Stanislav Chebotarev

2013 , VOLUME 13, NUMBER 6 ( NOVEMBER-DECEMBER )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Nikiforov
Vladimir O.
D.Sc., Prof.

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INTERVAL ESTIMATION SYSTEM DESIGN FOR TESTOSTERONE HORMONE DYNAMICS MODEL

D. V. Efimov, A. S. Kremlev, T. A. Kharkovskaia, S. Chebotarev

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Abstract

The paper deals with the interval observer design for nonlinear parameter-varying systems under assumption that the vector of scheduling parameters is not available for measurements. It is shown that the observer makes it possible to derive the area of system states estimates, which is guaranteed to contain the state value at a given time. The efficiency of the proposed approach is demonstrated by computer simulation of testosterone hormone dynamics system.

Keywords: observer, interval estimation, uncertainty, parametric-varying systems, nonlinear systems, cooperativity

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