TY - JOUR AB - 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. VL - 31 IS - 6 SN - 0332-1649 DO - 10.1108/03321641211266994 UR - https://doi.org/10.1108/03321641211266994 AU - Ibn Taarit Kaouther AU - Ksouri Mekki PY - 2012 Y1 - 2012/01/01 TI - Algebraic identification of a stable first‐order plus time delay model from step response T2 - COMPEL - The international journal for computation and mathematics in electrical and electronic engineering PB - Emerald Group Publishing Limited SP - 1558 EP - 1574 Y2 - 2024/04/16 ER -