Modeling and parametric identification of Hammerstein systems with time delay and asymmetric dead-zones using fractional differential equations

The parametric identification of Hammerstein structured nonlinear systems with discontinuous asymmetric (two segment piecewise-linear a dead-zone) nonlinearity and input time delay is presented using fractional-order modeling technique. effect the unknown dead-zone separated from linear dynamics special excitation signals to simplify process. use fractional calculus permits reduced order dynamics. An interactive block-based strategy then introduced simultaneously estimate parameters, including differentiation order(s) delay, which usually require separate algorithms in such cases. proposed method utilizes block pulse functions mitigate computational complexity differential operations. Numerical examples are provided validate efficacy comparison existing methods. A DC servo motor application used demonstrate approach.