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

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.

Citation

Ibn Taarit, K. and Ksouri, M. (2012), "Algebraic identification of a stable first‐order plus time delay model from step response", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 31 No. 6, pp. 1558-1574. https://doi.org/10.1108/03321641211266994