Estimation of Parameters of Nonlinear System by Using M-sequence and Volterra Kernels

Abstract

Many classes of nonlinear systems can be represented by Volterra kernels. The authors have recently developed a method for identification of Volterra kennels of nonlinear systems by using M-sequence and correlation technique. In this paper, the authors propose a new method for identification of nonlinear mechanical systems by use of Volterra kernels. The nonlinear mechanical systems are approximated to a nonlinear vibrating system which consists of a mass, a dumper, a linear spring and a nonlinear spring. Then, the parameters, which represent the nonlinear springs are calculated by use of the Volterra kernels. From the results of computer simulation and experiment, the parameters that represent the nonlinear characteristics of the nonlinear mechanical systems can be identified by the proposed method.