Identification of fractional Hammerstein system with delay

Abstract

Abstract This chapter is devoted to the identification of fractional nonlinear time-delay systems, based on the Hammerstein block-structure. The fractional polynomial nonlinear state space (FPNLSS) equations are derived to describe the nonlinear model. An output error identification approach is developed based on the Levenberg-Marquardt algorithm. This last requires the parametric sensitivity functions calculation which are developed as a multivariable FPNLSS model and the computational effort is reduced. Numerical simulations test the method efficiency, and its statistical performance is analyzed using Monte Carlo simulation.