On-line identification of nonlinear systems using volterra polynomial basis function neural networks

An on-line identification scheme using Volterra polynomial basis function (VPBF) neural networks is considered for nonlinear control systems. This comprises of a structure selection procedure and a recursive weight learning algorithm. The orthogonal least squares algorithm is introduced for off-line structure selection and the growing network technique is used for on-line structure selection. An on-line recursive weight learning algorithm is developed to adjust the weights so that the identified model can adapt to variations of the characteristics and operating points in nonlinear systems. The convergence of both the weights and estimation errors is established using a Lyapunov technique. The identification procedure is illustrated using a simulated example.