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

Authors:
Egi Hidayat;Alexander Medvedev
Affiliations:
-;-
Venue:
Automatica (Journal of IFAC)
Year:
2012

Citing 6
Cited 0

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Abstract

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.