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

Abstract

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