Identification of Hammerstein systems with input/output time delay via modulating functions

Hammerstein processes are described with a static nonlinear element followed by a dynamic linear system. This paper proposes the application of modulating function method to identify Hammerstein models, in the hypothesis of a nonlinear element approximated by a polynomial function. The linear dynamic system can include the presence of unknown time delays. The use of the modulating function method guarantees a continuous-time approach and robustness for high value of the noise-to-output signal ratio (NSR).