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Identifiability and algebraic identification of time delay systems. (English) Zbl 1298.93123

Sipahi, Rifat (ed.) et al., Time delay systems: Methods, applications and new trends. Berlin: Springer (ISBN 978-3-642-25220-4/pbk; 978-3-642-25221-1/ebook). Lecture Notes in Control and Information Sciences 423, 103-117 (2012).
Summary: Identifiability and algebraic identification of time delay systems are investigated in this paper. Identifiability results are first presented for linear delay systems described by convolution equations. On-line algorithms are next proposed for both parameters and delay estimation. Based on a distributional technique, these algorithms enable an algebraic and simultaneous estimation by solving a generalized eigenvalue problem. Simulation studies with noisy data and experimental results show the performance of the proposed approach.
For the entire collection see [Zbl 1235.93006].

MSC:

93B30 System identification
93C15 Control/observation systems governed by ordinary differential equations

References:

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