ON-Line Nonlinear Systems Identification of Coupled Tanks via Fractional Differential Neural Networks

fractional differential neural network (FDNN) is the extended neural network using fraction a I-order operators. On-line nonlinear system identification using FDNN is studied in this paper. Here all states of the non-linear system are assumed to be available in the system output. Through Lyapunov-like analysis, the fractional neural network parameters are adjusted so it will be proven that the identification error becomes bounded and tends to zero. To illustrate the applicability of the FDNN as a nonlinear identifier, two coupled tanks are considered as a case study. The results of simulation are very promising.