Abstract

Many classes of nonlinear systems can be represented by Volterra kernels. One of the authors has proposed a method for obtaining the Volterra kernels by use of M-sequences and cross-correlation function. 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 combination of a linear system and its square and cubic portion. Then, the parameters, which represent the relative maginitude of the square and cubic part, are calculated by use of the crosscorrelation function. In order to show that nonlinear mechanical systems can be identified by the parameters, computer simulations are carried out. The nonlinear mechanical system simulated consists of a DC servo motor and 1-link arm. From the results of simulations, it is shown that the nonlinear mechanical system can be identified by the proposed method.

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