Abstract
In this paper, a fast online identification algorithm is proposed for linear time invariant multiple time-delays systems (LTI-MTDS) in presence of both unknown initial conditions and static disturbance. It is based on an algebraic, non-asymptotic estimation technique initiated in the framework of systems without delay by Fliess and Sira-Ramirez in [5]. Such technique, developed here in the distributional framework, leads to simple realization schemes involving integrators, multipliers by exponential time functions. We consider the identification problem of multiple-input single-output (MISO) system with two unknown time-delays. Only estimating multiple time-delays from structured input signals will be performed. Simulation studies with noisy data show the performance of the proposed approach.
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Karoui, A., Taarit, K.I., Ksouri, M. (2016). Algebraic Identification Approach of Multiple Unknown Time-Delays of Continuous-Time Linear Systems. In: Abraham, A., Wegrzyn-Wolska, K., Hassanien, A., Snasel, V., Alimi, A. (eds) Proceedings of the Second International Afro-European Conference for Industrial Advancement AECIA 2015. Advances in Intelligent Systems and Computing, vol 427. Springer, Cham. https://doi.org/10.1007/978-3-319-29504-6_31
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DOI: https://doi.org/10.1007/978-3-319-29504-6_31
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