Recurrent neural network modeling combined with bilinear model structure

In this paper, we propose a neural network modeling scheme for nonlinear systems. The proposed architecture is a new combination of neural network and bilinear system model in which the terms of cross-products of input and output signals within the bilinear model are taken as the inputs into the neural network. Compared with the original bilinear system, this kind of network model possesses much more adjustable parameters to fulfill the system identification. Moreover, instead of the general back-propagation method an evolutionary computation called the differential evolution algorithm is presented to update the network parameters. This algorithm is with multiple direction searches toward the global optimal solution for given optimization problem. To show the feasibility of the proposed scheme, a nonlinear chemical process system of continuously stirred tank reactor is illustrated. Many simulations and examinations are considered to verify the robustness of the proposed neural network structure on the modeling performance, including different sets of initial conditions of the algorithm and model orders.