The data filtering based multiple‐stage Levenberg–Marquardt algorithm for Hammerstein nonlinear systems

Abstract This article considers the parameter identification problem of multiple‐input single‐output Hammerstein nonlinear systems. Applying the data filtering technique, the input–output data are filtered. The filtered system is decomposed into multiple subsystems with fewer variables by using the hierarchical identification principle. The data filtering based multiple‐stage Levenberg–Marquardt algorithm is proposed for interactively identifying each subsystem. Finally, a numerical simulation example is given to demonstrate the effectiveness of the proposed algorithms.