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Identification of Continuous-Time Systems with Multiple Unknown Time Delays Using an Output Error Method from Sampled Data

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Abstract

This paper deals with simultaneous identification of continuous systems with multiple unknown time delays from sampled input–output data. In order to estimate, simultaneously, the parameters and the time delays of the system, an output errors method using a nonlinear programming algorithm based on sensitivity functions is discussed. Nevertheless, the initial values of the adjustable parameters should be determined from physical insight or guessed by previous methods. The convergence of the proposed method has been analyzed with theorems and proofs. The simulation example indicates that the proposed algorithm can generate highly accurate parameter estimates.

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Authors and Affiliations

  1. Analysis, Conception and Control of Systems Laboratory, LR11ES20, National Engineering School of Tunis, University of Tunis El Manar, BP 37, Le Belvédère, 1002, Tunis, Tunisia

    Y. Ghoul, K. Ibn Taarit & M. Ksouri

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  1. Y. Ghoul
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  2. K. Ibn Taarit
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  3. M. Ksouri
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Correspondence to Y. Ghoul.

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Ghoul, Y., Ibn Taarit, K. & Ksouri, M. Identification of Continuous-Time Systems with Multiple Unknown Time Delays Using an Output Error Method from Sampled Data. Circuits Syst Signal Process 37, 1044–1061 (2018). https://doi.org/10.1007/s00034-017-0588-4

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  • DOI: https://doi.org/10.1007/s00034-017-0588-4

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