Abstract
This paper deals with fractional non-linear system identification, where the Hammerstein Controlled Auto-Regression (HCAR) model is considered. The identification process is derived for the regression form of the HCAR system based on the Over-parametrization principle and the Key-term separation principle. Levenberg-Marquardt algorithm combined with each of these principles is developed to identify the fractional HCAR system. Various simulations test the efficiency of the optimization method based on these principles. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.