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

• Kaouther Ibn Taarit ^[1] ; Mekki Ksouri ^[1]
  1. [1] National Engineering School of Tunis

     National Engineering School of Tunis

     Túnez

     
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 31, Nº 6, 2012, págs. 1558-1574
• Idioma: inglés
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• Resumen

  • 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.