Non-linear system identi®cation using Hammerstein and non-linear feedback models with piecewise linear static maps

We consider the identi®cation of Hammerstein/non-linear feedback models by approximating internal non-linearities using piecewise linear static maps. The resulting method utilizes a point-slope parameterization that leads to a computationally tractable optimization problem. The computational appeal of this technique is derived from the fact that the method only requires a matrix inverse and singular value decomposition. Furthermore, the identi®cation method simultaneously identi®es the linear dynamic and static non-linear blocks without requiring prior assumptions on the form of the static non-linearity.