In this paper, a system identification method for continuous fractional-order Hammerstein models is proposed. A block structured nonlinear system constituting a static nonlinear block followed by a fractional-order linear dynamic system is considered. The fractional differential operator is represented through the generalized operational matrix of block pulse functions to reduce computational complexity. A special test signal is developed to isolate the identification of the nonlinear static function from that of the fractional-order linear dynamic system. The merit of
the proposed technique is indicated by concurrent identification of the fractional order with linear
system coefficients, algebraic representation of the immeasurable nonlinear static function output,
and permitting use of non-iterative procedures for identification of the nonlinearity. The efficacy of
the proposed method is exhibited through simulation at various signal-to-noise ratios
