Recursive subspace identification method for Hammerstein systems

In this paper, the subspace methods for Hammerstein systems in state-space form are considered. In open loop case, a subspace identification method is given for Hammerstein systems, in which the nonlinear static function can be expressed as a linear combination of finite basis functions, and the recursive version of this method is also given. In mild conditions, we can show that the method given in this paper is consistency in some sense. A numerical example is given to show the performance of this method.