Shavirin

pp. 215-224

The article concerns the harmonic linearization method in the identification of nonlinear dynamical systems problem by the example of a system with dry friction. It describes an algorithm for the systems identification with a known transfer function for an experimental frequency hodograph that contains random measurement accuracy. The transfer function of the system was adopted as a model. The authors suggested finding a solution of the identification problem in the hodograph class, defined by system model. The unknown coefficients transfer function is searched, according to authors’ proposal, by the minimizing a proximity measure of the experimental system hodograph and the hodograph of system model. As a result, the solution of the identification problem was reduced to solving a system of linear equations. An illustrative numerical simulation for the second-order system has shown that the accuracy of determining the values of the transfer function coefficients is comparable with the range of measurement accuracy of experimental samples of this system hodograph.