A distributed Wiener logic processor model structure is considered. Each fuzzy Wiener model consists of a succession of a linear dynamic part and a (static) steady-state non-linear logical part. The model structure and the necessary gradients required by gradient-based parameter estimation methods are given. Parameter projection and a modified threshold method are discussed. A simulation example illustrates the approach in the identification of a nonlinear, non-minimum phase CSTR process where a van der Vusse reaction takes place.