Gradient based iterative identification for discrete-time delay systems

Bedoui, Saïda; Ltaïef, Majda; Abderrahim, Kamel

doi:10.1109/ascc.2013.6606120

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The Hierarchical Gradient Based Algorithm1

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Cited by 3 publications

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“…Since the cost function J 2 (d) has the rounding propriety see Bedoui et al (2013a), the minimizing of (12) is equivalent to minimizing the following problem: The negative gradient search method is then used to estimate the parameter vectorθ (k) and the time delayd(k). Solving the optimization problem (11) leads to the following algorithm of computing of θ (k):…”

Section: The Hierarchical Gradient Based Algorithmmentioning

confidence: 99%

Identification of Wiener Time Delay Systems Based on Hierarchical Gradient Approach

2015

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In this paper, we propose a hierarchical gradient based algorithm to identify simultaneously the parameters of the linear and nonlinear blocks and the time delay of Wiener time delay systems. We separate the nonlinear cost function into two cost functions and present the gradient algorithm for estimating directly the time delay and the parameters. Furthermore, we give an appropriate choice of convergence factor. Numerical simulation results are presented to demonstrate the performance of the proposed method.

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Section: The Hierarchical Gradient Based Algorithmmentioning

confidence: 99%