Nonlinear system identification using wavelet networks

This paper presents an identification scheme using wavelet networks for nonlinear dynamical systems. Based on wavelet networks, the parameter adaptation laws of the wavelet network are developed using a Lyapunov synthesis approach. This guarantees the stability of the overall identification scheme and the convergence of both the parameters and the state errors, even in the presence of modelling errors. B-spline wavelets are used for realization of the wavelet network based identification. The identification scheme is illustrated using a simulated example