Evaluation of response of nonlinear discrete systems using multidimensional Z transforms

Using the concept of a multidimensional Z transform, a method for solving time-invariant nonlinear difference equations is proposed. The solution is obtained in the form of a discrete Volterra series. Using the new technique, the response of a nonlinear sampled-data control system is obtained which compares very favourably with that obtained by other, more tedious and cumbersome, methods.