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Algebraic identification of a stable first‐order plus time delay model from step response

Algebraic identification of a stable first‐order plus time delay model from step response Purpose – A fast identification algorithm for a linear monotonic process from a step response is proposed in this paper, from which the parameters of a first‐order plus dead‐time model can be obtained directly. Design/methodology/approach – The study is based on a non‐asymptotic distributional estimation technique initiated without delay in the framework of systems. Such a technique leads to simple realization schemes, involving integrators, multipliers and piecewise polynomial or exponential time functions and shows a possible link between simultaneous identification and generalized eigenvalue problems. Thus, it allows for a real‐time implementation. Findings – The effectiveness of the identification method has been demonstrated through a number of simulation examples and a real‐time test. Originality/value – This paper presents a novel method to simultaneous delay and parameters identification of a stable first‐order plus time delay model from step response that can model a widespread class of systems. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

Algebraic identification of a stable first‐order plus time delay model from step response

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References (24)

Publisher
Emerald Publishing
Copyright
Copyright © 2012 Emerald Group Publishing Limited. All rights reserved.
ISSN
0332-1649
DOI
10.1108/03321641211266994
Publisher site
See Article on Publisher Site

Abstract

Purpose – A fast identification algorithm for a linear monotonic process from a step response is proposed in this paper, from which the parameters of a first‐order plus dead‐time model can be obtained directly. Design/methodology/approach – The study is based on a non‐asymptotic distributional estimation technique initiated without delay in the framework of systems. Such a technique leads to simple realization schemes, involving integrators, multipliers and piecewise polynomial or exponential time functions and shows a possible link between simultaneous identification and generalized eigenvalue problems. Thus, it allows for a real‐time implementation. Findings – The effectiveness of the identification method has been demonstrated through a number of simulation examples and a real‐time test. Originality/value – This paper presents a novel method to simultaneous delay and parameters identification of a stable first‐order plus time delay model from step response that can model a widespread class of systems.

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic EngineeringEmerald Publishing

Published: Nov 9, 2012

Keywords: Time delay systems; First‐order plus time delay model; Step response; Algebraic identification; Generalized eigenvalue problem; Delay circuits

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