Finite-Dimensional Hybrid Observer for Delayed Impulsive Model of Testosterone Regulation

被引：0
|
作者：
Yamalova, Diana [1 ,2 ]
Churilov, Alexander [1 ]
Medvedev, Alexander [2 ]
机构：
[1] St Petersburg State Univ, Fac Math & Mech, St Petersburg 198504, Russia
[2] Uppsala Univ, Informat Technol, S-75105 Uppsala, Sweden
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
基金：
瑞典研究理事会; 欧洲研究理事会; 俄罗斯基础研究基金会;
关键词：
NEGATIVE FEEDBACK; HORMONE; SYSTEMS; MECHANISMS; STABILITY; SECRETION;
D O I：
10.1155/2015/190463
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The paper deals with the model-based estimation of hormone concentrations that are inaccessible for direct measurement in the blood stream. Previous research demonstrated that the dynamics of nonbasal endocrine regulation can be closely captured by linear continuous models with time delays under a pulse-modulated feedback. The presence of continuous time delays is inevitable in such a model due to transport phenomena and the time necessary for an endocrine gland to produce a certain hormone quantity. Yet, thanks to the finite-dimensional reducibility of the linear time-delay part of the system, a finite-dimensional model can be used to reconstruct both the continuous and discrete states of the hybrid time-delay plant. A hybrid observer exploiting this possibility is suggested and analyzed by means of a discrete impulse-to-impulse mapping.
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页数：12
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