Gradient based iterative identification for discrete-time delay systems

In this paper, the problem of identification of time delay systems is addressed. This problem involves both the estimation of the dynamic parameters and the identification of the time delay. In fact, we propose a gradient based iterative algorithm for time delay discrete systems using the hierarchical identification principle. This method consists in decomposing a nonlinear cost function into two simple cost functions in order to overcome the difficulties presented in nonlinear approaches. Simulation results are presented to illustrate the performance of our method and to compare it with an existing approach.