APPLICATION OF NUMERICAL METHODS TO THE ACCELERATION OF THE CONVERGENCE OF THE ADAPTIVE CONTROL ALGORITHMS: THE ONE-DIMENSIONAL CASE.

The purpose of this paper is the application of numerical methods of acceleration of the convergence of sequences to adaptive algorithms, when there is only one unknown parameter, as a first step towards presenting more general results. It is shown that this application achieves a faster convergence of the adaptive algorithms. The results are applied to one-parameter adaptive control algorithms. In particular, simulation results are obtained for the problem of controlling pH in acidic wastewater.