Laguerre domain identification of continuous linear time-delay systems from impulse response data

An expression for the Laguerre spectrum of the impulse response of a linear continuous time-invariant system with input or output delay is derived. A discrete state-space description of the time-delay system in the Laguerre shift operator is obtained opening up for the use of conventional identifica...

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Bibliographic Details
Published in:Automatica (Oxford) 2012-11, Vol.48 (11), p.2902-2907
Main Authors: Hidayat, Egi, Medvedev, Alexander
Format: Article
Language:English
Subjects:
Applied sciences
Biological and medical sciences
Computer science
control theory
systems
Continuous time systems
Control
Control theory. Systems
Delay
Dynamical systems
Dynamics
Endocrine systems
Exact sciences and technology
Fundamental and applied biological sciences. Psychology
Impulse response
Impulse responses
Laguerre functions
Mathematical analysis
Medical applications
Modelling and identification
Parameter estimation
Subspace methods
System identification
Time delay
Time-delay systems
Vertebrates: endocrinology
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Summary:An expression for the Laguerre spectrum of the impulse response of a linear continuous time-invariant system with input or output delay is derived. A discrete state-space description of the time-delay system in the Laguerre shift operator is obtained opening up for the use of conventional identification techniques. A method for Laguerre domain identification of continuous time-delay systems from impulse response data is then proposed. Linear time-invariant systems resulting from cascading finite-dimensional dynamics with pure time delays are considered. Subspace identification is utilized for estimation of finite-dimensional dynamics. An application to blind identification of a mathematical model of an endocrine system with pulsatile regulation is also provided.
ISSN:0005-1098
1873-2836
1873-2836
DOI:10.1016/j.automatica.2012.06.077