Modeling of Nonlinear Systems with Friction Structure Using Multivariable Taylor Series Expansion

The major aim of this article is modeling of nonlinear systems with friction structure that, this method is essentially extended based on taylore expansion polynomial. So in this study, the taylore expansion was extended in the generalized form for the differential equations of the statespace form. The proposed structure is based on multi independent variables taylore extended. According to the proposed method, in order to extract state-space form modeling, it is needed to some samples of the measured value of system states and/or their combination. Then, the matrix of measured values and response vectors of derived states were forming by these measured value of system states. By use of the presented equations and the measured values, the coefficients of polynomials were calculated as the model of state-space of studied nonlinear system. The result of proposed simulation using proposed algorithm show, that it is importable having an independent information system under test to system identification. A few suggestion were proposed to decrease of the dependence of the measured samples, the results of algorithm with different parameters show that proposed algorithm perform better. Of course in during the evaluation of algorithm, the results of different experimental were used.